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Finding the Fourth Proportional to 9,710.09, 13,402.41 and 5,732.49

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Solution

The fourth proportional to 9,710.09, 13,402.41 and 5,732.49 is: 7,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.09 : 13,402.41 = 5,732.49 : x
  2. Step 2: Convert to fraction form
    9,710.09/13,402.41 = 5,732.49/x
  3. Step 3: Cross multiply
    9,710.09x = 13,402.41 × 5,732.49
  4. Step 4: Simplify right side
    9,710.09x = 76,829,166.92
  5. Step 5: Solve for x
    x = 76,829,166.92/9,710.09
  6. Step 6: Final answer
    x = 7,912.30

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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.