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Finding the Fourth Proportional to 9,614.91, 14,423.62 and 3,374.47

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Solution

The fourth proportional to 9,614.91, 14,423.62 and 3,374.47 is: 5,062.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.91 : 14,423.62 = 3,374.47 : x
  2. Step 2: Convert to fraction form
    9,614.91/14,423.62 = 3,374.47/x
  3. Step 3: Cross multiply
    9,614.91x = 14,423.62 × 3,374.47
  4. Step 4: Simplify right side
    9,614.91x = 48,672,072.98
  5. Step 5: Solve for x
    x = 48,672,072.98/9,614.91
  6. Step 6: Final answer
    x = 5,062.15

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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.