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Finding the Fourth Proportional to 6,640.18, 9,159.62 and 4,151.86

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Solution

The fourth proportional to 6,640.18, 9,159.62 and 4,151.86 is: 5,727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.18 : 9,159.62 = 4,151.86 : x
  2. Step 2: Convert to fraction form
    6,640.18/9,159.62 = 4,151.86/x
  3. Step 3: Cross multiply
    6,640.18x = 9,159.62 × 4,151.86
  4. Step 4: Simplify right side
    6,640.18x = 38,029,459.89
  5. Step 5: Solve for x
    x = 38,029,459.89/6,640.18
  6. Step 6: Final answer
    x = 5,727.17

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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.