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Finding the Fourth Proportional to 6,321.52, 9,465.72 and 5,008.24

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Solution

The fourth proportional to 6,321.52, 9,465.72 and 5,008.24 is: 7,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.52 : 9,465.72 = 5,008.24 : x
  2. Step 2: Convert to fraction form
    6,321.52/9,465.72 = 5,008.24/x
  3. Step 3: Cross multiply
    6,321.52x = 9,465.72 × 5,008.24
  4. Step 4: Simplify right side
    6,321.52x = 47,406,597.53
  5. Step 5: Solve for x
    x = 47,406,597.53/6,321.52
  6. Step 6: Final answer
    x = 7,499.24

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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.