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Finding the Fourth Proportional to 9,402.34, 14,098.30 and 3,859.58

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Solution

The fourth proportional to 9,402.34, 14,098.30 and 3,859.58 is: 5,787.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.34 : 14,098.30 = 3,859.58 : x
  2. Step 2: Convert to fraction form
    9,402.34/14,098.30 = 3,859.58/x
  3. Step 3: Cross multiply
    9,402.34x = 14,098.30 × 3,859.58
  4. Step 4: Simplify right side
    9,402.34x = 54,413,516.71
  5. Step 5: Solve for x
    x = 54,413,516.71/9,402.34
  6. Step 6: Final answer
    x = 5,787.23

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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.