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Finding the Fourth Proportional to 6,117.72, 8,442.19 and 3,464.97

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Solution

The fourth proportional to 6,117.72, 8,442.19 and 3,464.97 is: 4,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.72 : 8,442.19 = 3,464.97 : x
  2. Step 2: Convert to fraction form
    6,117.72/8,442.19 = 3,464.97/x
  3. Step 3: Cross multiply
    6,117.72x = 8,442.19 × 3,464.97
  4. Step 4: Simplify right side
    6,117.72x = 29,251,875.55
  5. Step 5: Solve for x
    x = 29,251,875.55/6,117.72
  6. Step 6: Final answer
    x = 4,781.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.