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Finding the Fourth Proportional to 9,142.34, 13,711.46 and 5,445.63

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Solution

The fourth proportional to 9,142.34, 13,711.46 and 5,445.63 is: 8,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.34 : 13,711.46 = 5,445.63 : x
  2. Step 2: Convert to fraction form
    9,142.34/13,711.46 = 5,445.63/x
  3. Step 3: Cross multiply
    9,142.34x = 13,711.46 × 5,445.63
  4. Step 4: Simplify right side
    9,142.34x = 74,667,564.30
  5. Step 5: Solve for x
    x = 74,667,564.30/9,142.34
  6. Step 6: Final answer
    x = 8,167.22

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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.