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Finding the Fourth Proportional to 6,549.64, 9,038.82 and 3,861.65

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Solution

The fourth proportional to 6,549.64, 9,038.82 and 3,861.65 is: 5,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.64 : 9,038.82 = 3,861.65 : x
  2. Step 2: Convert to fraction form
    6,549.64/9,038.82 = 3,861.65/x
  3. Step 3: Cross multiply
    6,549.64x = 9,038.82 × 3,861.65
  4. Step 4: Simplify right side
    6,549.64x = 34,904,759.25
  5. Step 5: Solve for x
    x = 34,904,759.25/6,549.64
  6. Step 6: Final answer
    x = 5,329.26

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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.