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Finding the Fourth Proportional to 6,403.17, 8,838.05 and 4,171.17

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Solution

The fourth proportional to 6,403.17, 8,838.05 and 4,171.17 is: 5,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.17 : 8,838.05 = 4,171.17 : x
  2. Step 2: Convert to fraction form
    6,403.17/8,838.05 = 4,171.17/x
  3. Step 3: Cross multiply
    6,403.17x = 8,838.05 × 4,171.17
  4. Step 4: Simplify right side
    6,403.17x = 36,864,988.16
  5. Step 5: Solve for x
    x = 36,864,988.16/6,403.17
  6. Step 6: Final answer
    x = 5,757.30

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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.