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Finding the Fourth Proportional to 9,930.81, 13,702.77 and 5,681.28

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Solution

The fourth proportional to 9,930.81, 13,702.77 and 5,681.28 is: 7,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.81 : 13,702.77 = 5,681.28 : x
  2. Step 2: Convert to fraction form
    9,930.81/13,702.77 = 5,681.28/x
  3. Step 3: Cross multiply
    9,930.81x = 13,702.77 × 5,681.28
  4. Step 4: Simplify right side
    9,930.81x = 77,849,324.53
  5. Step 5: Solve for x
    x = 77,849,324.53/9,930.81
  6. Step 6: Final answer
    x = 7,839.17

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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.