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Finding the Fourth Proportional to 9,939.18, 13,715.78 and 5,463.38

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Solution

The fourth proportional to 9,939.18, 13,715.78 and 5,463.38 is: 7,539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939.18 : 13,715.78 = 5,463.38 : x
  2. Step 2: Convert to fraction form
    9,939.18/13,715.78 = 5,463.38/x
  3. Step 3: Cross multiply
    9,939.18x = 13,715.78 × 5,463.38
  4. Step 4: Simplify right side
    9,939.18x = 74,934,518.14
  5. Step 5: Solve for x
    x = 74,934,518.14/9,939.18
  6. Step 6: Final answer
    x = 7,539.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.