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Finding the Fourth Proportional to 9,402.53, 14,098.57 and 3,859.77

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Solution

The fourth proportional to 9,402.53, 14,098.57 and 3,859.77 is: 5,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.53 : 14,098.57 = 3,859.77 : x
  2. Step 2: Convert to fraction form
    9,402.53/14,098.57 = 3,859.77/x
  3. Step 3: Cross multiply
    9,402.53x = 14,098.57 × 3,859.77
  4. Step 4: Simplify right side
    9,402.53x = 54,417,223.16
  5. Step 5: Solve for x
    x = 54,417,223.16/9,402.53
  6. Step 6: Final answer
    x = 5,787.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.