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Finding the Fourth Proportional to 9,640.20, 14,456.70 and 6,709.80

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Solution

The fourth proportional to 9,640.20, 14,456.70 and 6,709.80 is: 10,062.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.20 : 14,456.70 = 6,709.80 : x
  2. Step 2: Convert to fraction form
    9,640.20/14,456.70 = 6,709.80/x
  3. Step 3: Cross multiply
    9,640.20x = 14,456.70 × 6,709.80
  4. Step 4: Simplify right side
    9,640.20x = 97,001,565.66
  5. Step 5: Solve for x
    x = 97,001,565.66/9,640.20
  6. Step 6: Final answer
    x = 10,062.19

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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.