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Finding the Fourth Proportional to 9,116.49, 12,578.97 and 5,577.19

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Solution

The fourth proportional to 9,116.49, 12,578.97 and 5,577.19 is: 7,695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.49 : 12,578.97 = 5,577.19 : x
  2. Step 2: Convert to fraction form
    9,116.49/12,578.97 = 5,577.19/x
  3. Step 3: Cross multiply
    9,116.49x = 12,578.97 × 5,577.19
  4. Step 4: Simplify right side
    9,116.49x = 70,155,305.69
  5. Step 5: Solve for x
    x = 70,155,305.69/9,116.49
  6. Step 6: Final answer
    x = 7,695.43

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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.