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Finding the Fourth Proportional to 9,025.53, 13,534.86 and 3,614.24

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Solution

The fourth proportional to 9,025.53, 13,534.86 and 3,614.24 is: 5,419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025.53 : 13,534.86 = 3,614.24 : x
  2. Step 2: Convert to fraction form
    9,025.53/13,534.86 = 3,614.24/x
  3. Step 3: Cross multiply
    9,025.53x = 13,534.86 × 3,614.24
  4. Step 4: Simplify right side
    9,025.53x = 48,918,173.17
  5. Step 5: Solve for x
    x = 48,918,173.17/9,025.53
  6. Step 6: Final answer
    x = 5,419.98

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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.