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Finding the Fourth Proportional to 6,339.60, 9,511.56 and 5,618.16

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Solution

The fourth proportional to 6,339.60, 9,511.56 and 5,618.16 is: 8,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.60 : 9,511.56 = 5,618.16 : x
  2. Step 2: Convert to fraction form
    6,339.60/9,511.56 = 5,618.16/x
  3. Step 3: Cross multiply
    6,339.60x = 9,511.56 × 5,618.16
  4. Step 4: Simplify right side
    6,339.60x = 53,437,465.93
  5. Step 5: Solve for x
    x = 53,437,465.93/6,339.60
  6. Step 6: Final answer
    x = 8,429.15

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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.