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Finding the Fourth Proportional to 9,109.57, 12,577.01 and 7,434.97

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Solution

The fourth proportional to 9,109.57, 12,577.01 and 7,434.97 is: 10,264.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.57 : 12,577.01 = 7,434.97 : x
  2. Step 2: Convert to fraction form
    9,109.57/12,577.01 = 7,434.97/x
  3. Step 3: Cross multiply
    9,109.57x = 12,577.01 × 7,434.97
  4. Step 4: Simplify right side
    9,109.57x = 93,509,651.30
  5. Step 5: Solve for x
    x = 93,509,651.30/9,109.57
  6. Step 6: Final answer
    x = 10,264.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.