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Finding the Fourth Proportional to 9,603.96, 14,408.79 and 4,927.27

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Solution

The fourth proportional to 9,603.96, 14,408.79 and 4,927.27 is: 7,392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.96 : 14,408.79 = 4,927.27 : x
  2. Step 2: Convert to fraction form
    9,603.96/14,408.79 = 4,927.27/x
  3. Step 3: Cross multiply
    9,603.96x = 14,408.79 × 4,927.27
  4. Step 4: Simplify right side
    9,603.96x = 70,995,998.70
  5. Step 5: Solve for x
    x = 70,995,998.70/9,603.96
  6. Step 6: Final answer
    x = 7,392.37

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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.