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Finding the Fourth Proportional to 6,304.16, 8,685.96 and 4,176.08

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Solution

The fourth proportional to 6,304.16, 8,685.96 and 4,176.08 is: 5,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.16 : 8,685.96 = 4,176.08 : x
  2. Step 2: Convert to fraction form
    6,304.16/8,685.96 = 4,176.08/x
  3. Step 3: Cross multiply
    6,304.16x = 8,685.96 × 4,176.08
  4. Step 4: Simplify right side
    6,304.16x = 36,273,263.84
  5. Step 5: Solve for x
    x = 36,273,263.84/6,304.16
  6. Step 6: Final answer
    x = 5,753.86

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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.