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Finding the Fourth Proportional to 37,614.53, 56,421.87 and 9,534.57

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Solution

The fourth proportional to 37,614.53, 56,421.87 and 9,534.57 is: 14,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,614.53 : 56,421.87 = 9,534.57 : x
  2. Step 2: Convert to fraction form
    37,614.53/56,421.87 = 9,534.57/x
  3. Step 3: Cross multiply
    37,614.53x = 56,421.87 × 9,534.57
  4. Step 4: Simplify right side
    37,614.53x = 537,958,269.05
  5. Step 5: Solve for x
    x = 537,958,269.05/37,614.53
  6. Step 6: Final answer
    x = 14,301.87

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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.