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Finding the Fourth Proportional to 6,591.32, 9,878.90 and 4,088.65

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Solution

The fourth proportional to 6,591.32, 9,878.90 and 4,088.65 is: 6,127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.32 : 9,878.90 = 4,088.65 : x
  2. Step 2: Convert to fraction form
    6,591.32/9,878.90 = 4,088.65/x
  3. Step 3: Cross multiply
    6,591.32x = 9,878.90 × 4,088.65
  4. Step 4: Simplify right side
    6,591.32x = 40,391,364.49
  5. Step 5: Solve for x
    x = 40,391,364.49/6,591.32
  6. Step 6: Final answer
    x = 6,127.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.