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Finding the Fourth Proportional to 9,411.57, 12,988.20 and 5,162.82

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Solution

The fourth proportional to 9,411.57, 12,988.20 and 5,162.82 is: 7,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.57 : 12,988.20 = 5,162.82 : x
  2. Step 2: Convert to fraction form
    9,411.57/12,988.20 = 5,162.82/x
  3. Step 3: Cross multiply
    9,411.57x = 12,988.20 × 5,162.82
  4. Step 4: Simplify right side
    9,411.57x = 67,055,738.72
  5. Step 5: Solve for x
    x = 67,055,738.72/9,411.57
  6. Step 6: Final answer
    x = 7,124.82

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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.