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Finding the Fourth Proportional to 9,952.71, 13,735.02 and 5,476.57

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Solution

The fourth proportional to 9,952.71, 13,735.02 and 5,476.57 is: 7,557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.71 : 13,735.02 = 5,476.57 : x
  2. Step 2: Convert to fraction form
    9,952.71/13,735.02 = 5,476.57/x
  3. Step 3: Cross multiply
    9,952.71x = 13,735.02 × 5,476.57
  4. Step 4: Simplify right side
    9,952.71x = 75,220,798.48
  5. Step 5: Solve for x
    x = 75,220,798.48/9,952.71
  6. Step 6: Final answer
    x = 7,557.82

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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.