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Finding the Fourth Proportional to 9,578.67, 14,338.29 and 5,185.23

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Solution

The fourth proportional to 9,578.67, 14,338.29 and 5,185.23 is: 7,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.67 : 14,338.29 = 5,185.23 : x
  2. Step 2: Convert to fraction form
    9,578.67/14,338.29 = 5,185.23/x
  3. Step 3: Cross multiply
    9,578.67x = 14,338.29 × 5,185.23
  4. Step 4: Simplify right side
    9,578.67x = 74,347,331.46
  5. Step 5: Solve for x
    x = 74,347,331.46/9,578.67
  6. Step 6: Final answer
    x = 7,761.76

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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.