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Finding the Fourth Proportional to 6,117.17, 8,441.69 and 3,464.57

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Solution

The fourth proportional to 6,117.17, 8,441.69 and 3,464.57 is: 4,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.17 : 8,441.69 = 3,464.57 : x
  2. Step 2: Convert to fraction form
    6,117.17/8,441.69 = 3,464.57/x
  3. Step 3: Cross multiply
    6,117.17x = 8,441.69 × 3,464.57
  4. Step 4: Simplify right side
    6,117.17x = 29,246,766.39
  5. Step 5: Solve for x
    x = 29,246,766.39/6,117.17
  6. Step 6: Final answer
    x = 4,781.10

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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.