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Finding the Fourth Proportional to 6,442.80, 9,643.68 and 5,129.52

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Solution

The fourth proportional to 6,442.80, 9,643.68 and 5,129.52 is: 7,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.80 : 9,643.68 = 5,129.52 : x
  2. Step 2: Convert to fraction form
    6,442.80/9,643.68 = 5,129.52/x
  3. Step 3: Cross multiply
    6,442.80x = 9,643.68 × 5,129.52
  4. Step 4: Simplify right side
    6,442.80x = 49,467,449.43
  5. Step 5: Solve for x
    x = 49,467,449.43/6,442.80
  6. Step 6: Final answer
    x = 7,677.94

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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.