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Finding the Fourth Proportional to 6,449.32, 9,666.49 and 5,281.30

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Solution

The fourth proportional to 6,449.32, 9,666.49 and 5,281.30 is: 7,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.32 : 9,666.49 = 5,281.30 : x
  2. Step 2: Convert to fraction form
    6,449.32/9,666.49 = 5,281.30/x
  3. Step 3: Cross multiply
    6,449.32x = 9,666.49 × 5,281.30
  4. Step 4: Simplify right side
    6,449.32x = 51,051,633.64
  5. Step 5: Solve for x
    x = 51,051,633.64/6,449.32
  6. Step 6: Final answer
    x = 7,915.82

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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.