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Finding the Fourth Proportional to 9,780.59, 14,691.17 and 7,908.59

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Solution

The fourth proportional to 9,780.59, 14,691.17 and 7,908.59 is: 11,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.59 : 14,691.17 = 7,908.59 : x
  2. Step 2: Convert to fraction form
    9,780.59/14,691.17 = 7,908.59/x
  3. Step 3: Cross multiply
    9,780.59x = 14,691.17 × 7,908.59
  4. Step 4: Simplify right side
    9,780.59x = 116,186,496.65
  5. Step 5: Solve for x
    x = 116,186,496.65/9,780.59
  6. Step 6: Final answer
    x = 11,879.29

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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.