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Finding the Fourth Proportional to 6,291.52, 9,439.68 and 2,345.20

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Solution

The fourth proportional to 6,291.52, 9,439.68 and 2,345.20 is: 3,518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.52 : 9,439.68 = 2,345.20 : x
  2. Step 2: Convert to fraction form
    6,291.52/9,439.68 = 2,345.20/x
  3. Step 3: Cross multiply
    6,291.52x = 9,439.68 × 2,345.20
  4. Step 4: Simplify right side
    6,291.52x = 22,137,937.54
  5. Step 5: Solve for x
    x = 22,137,937.54/6,291.52
  6. Step 6: Final answer
    x = 3,518.69

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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.