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Finding the Fourth Proportional to 9,681.01, 13,358.17 and 5,702.92

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Solution

The fourth proportional to 9,681.01, 13,358.17 and 5,702.92 is: 7,869.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.01 : 13,358.17 = 5,702.92 : x
  2. Step 2: Convert to fraction form
    9,681.01/13,358.17 = 5,702.92/x
  3. Step 3: Cross multiply
    9,681.01x = 13,358.17 × 5,702.92
  4. Step 4: Simplify right side
    9,681.01x = 76,180,548.59
  5. Step 5: Solve for x
    x = 76,180,548.59/9,681.01
  6. Step 6: Final answer
    x = 7,869.07

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