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Finding the Fourth Proportional to 9,126.16, 12,591.72 and 5,398.48

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Solution

The fourth proportional to 9,126.16, 12,591.72 and 5,398.48 is: 7,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.16 : 12,591.72 = 5,398.48 : x
  2. Step 2: Convert to fraction form
    9,126.16/12,591.72 = 5,398.48/x
  3. Step 3: Cross multiply
    9,126.16x = 12,591.72 × 5,398.48
  4. Step 4: Simplify right side
    9,126.16x = 67,976,148.59
  5. Step 5: Solve for x
    x = 67,976,148.59/9,126.16
  6. Step 6: Final answer
    x = 7,448.49

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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.