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Finding the Fourth Proportional to 9,913.11, 14,864.45 and 5,235.63

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Solution

The fourth proportional to 9,913.11, 14,864.45 and 5,235.63 is: 7,850.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.11 : 14,864.45 = 5,235.63 : x
  2. Step 2: Convert to fraction form
    9,913.11/14,864.45 = 5,235.63/x
  3. Step 3: Cross multiply
    9,913.11x = 14,864.45 × 5,235.63
  4. Step 4: Simplify right side
    9,913.11x = 77,824,734.18
  5. Step 5: Solve for x
    x = 77,824,734.18/9,913.11
  6. Step 6: Final answer
    x = 7,850.69

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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.