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Finding the Fourth Proportional to 9,708.71, 13,397.90 and 5,460.47

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Solution

The fourth proportional to 9,708.71, 13,397.90 and 5,460.47 is: 7,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.71 : 13,397.90 = 5,460.47 : x
  2. Step 2: Convert to fraction form
    9,708.71/13,397.90 = 5,460.47/x
  3. Step 3: Cross multiply
    9,708.71x = 13,397.90 × 5,460.47
  4. Step 4: Simplify right side
    9,708.71x = 73,158,837.21
  5. Step 5: Solve for x
    x = 73,158,837.21/9,708.71
  6. Step 6: Final answer
    x = 7,535.38

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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.