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Finding the Fourth Proportional to 9,938.61, 13,715.31 and 5,959.71

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Solution

The fourth proportional to 9,938.61, 13,715.31 and 5,959.71 is: 8,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.61 : 13,715.31 = 5,959.71 : x
  2. Step 2: Convert to fraction form
    9,938.61/13,715.31 = 5,959.71/x
  3. Step 3: Cross multiply
    9,938.61x = 13,715.31 × 5,959.71
  4. Step 4: Simplify right side
    9,938.61x = 81,739,270.16
  5. Step 5: Solve for x
    x = 81,739,270.16/9,938.61
  6. Step 6: Final answer
    x = 8,224.42

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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.