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Finding the Fourth Proportional to 9,557.34, 14,336.01 and 5,614.62

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Solution

The fourth proportional to 9,557.34, 14,336.01 and 5,614.62 is: 8,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.34 : 14,336.01 = 5,614.62 : x
  2. Step 2: Convert to fraction form
    9,557.34/14,336.01 = 5,614.62/x
  3. Step 3: Cross multiply
    9,557.34x = 14,336.01 × 5,614.62
  4. Step 4: Simplify right side
    9,557.34x = 80,491,248.47
  5. Step 5: Solve for x
    x = 80,491,248.47/9,557.34
  6. Step 6: Final answer
    x = 8,421.93

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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.