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Finding the Fourth Proportional to 9,578.65, 14,367.78 and 6,755.89

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Solution

The fourth proportional to 9,578.65, 14,367.78 and 6,755.89 is: 10,133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.65 : 14,367.78 = 6,755.89 : x
  2. Step 2: Convert to fraction form
    9,578.65/14,367.78 = 6,755.89/x
  3. Step 3: Cross multiply
    9,578.65x = 14,367.78 × 6,755.89
  4. Step 4: Simplify right side
    9,578.65x = 97,067,141.22
  5. Step 5: Solve for x
    x = 97,067,141.22/9,578.65
  6. Step 6: Final answer
    x = 10,133.70

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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.