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Finding the Fourth Proportional to 9,675.30, 14,502.15 and 5,517.30

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Solution

The fourth proportional to 9,675.30, 14,502.15 and 5,517.30 is: 8,269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.30 : 14,502.15 = 5,517.30 : x
  2. Step 2: Convert to fraction form
    9,675.30/14,502.15 = 5,517.30/x
  3. Step 3: Cross multiply
    9,675.30x = 14,502.15 × 5,517.30
  4. Step 4: Simplify right side
    9,675.30x = 80,012,712.20
  5. Step 5: Solve for x
    x = 80,012,712.20/9,675.30
  6. Step 6: Final answer
    x = 8,269.79

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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.