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Finding the Fourth Proportional to 9,663,993.20, 14,483,548.20 and 7,408,953.20

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Solution

The fourth proportional to 9,663,993.20, 14,483,548.20 and 7,408,953.20 is: 11,103,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663,993.20 : 14,483,548.20 = 7,408,953.20 : x
  2. Step 2: Convert to fraction form
    9,663,993.20/14,483,548.20 = 7,408,953.20/x
  3. Step 3: Cross multiply
    9,663,993.20x = 14,483,548.20 × 7,408,953.20
  4. Step 4: Simplify right side
    9,663,993.20x = 107,307,930,783,744.23
  5. Step 5: Solve for x
    x = 107,307,930,783,744.23/9,663,993.20
  6. Step 6: Final answer
    x = 11,103,891.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.