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Finding the Fourth Proportional to 9,402.43, 14,099.14 and 3,160.71

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Solution

The fourth proportional to 9,402.43, 14,099.14 and 3,160.71 is: 4,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.43 : 14,099.14 = 3,160.71 : x
  2. Step 2: Convert to fraction form
    9,402.43/14,099.14 = 3,160.71/x
  3. Step 3: Cross multiply
    9,402.43x = 14,099.14 × 3,160.71
  4. Step 4: Simplify right side
    9,402.43x = 44,563,292.79
  5. Step 5: Solve for x
    x = 44,563,292.79/9,402.43
  6. Step 6: Final answer
    x = 4,739.55

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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.