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Finding the Fourth Proportional to 6,509.38, 9,766.16 and 2,349.35

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Solution

The fourth proportional to 6,509.38, 9,766.16 and 2,349.35 is: 3,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.38 : 9,766.16 = 2,349.35 : x
  2. Step 2: Convert to fraction form
    6,509.38/9,766.16 = 2,349.35/x
  3. Step 3: Cross multiply
    6,509.38x = 9,766.16 × 2,349.35
  4. Step 4: Simplify right side
    6,509.38x = 22,944,128.00
  5. Step 5: Solve for x
    x = 22,944,128.00/6,509.38
  6. Step 6: Final answer
    x = 3,524.78

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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.