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Finding the Fourth Proportional to 9,411.75, 12,988.07 and 5,162.91

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Solution

The fourth proportional to 9,411.75, 12,988.07 and 5,162.91 is: 7,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.75 : 12,988.07 = 5,162.91 : x
  2. Step 2: Convert to fraction form
    9,411.75/12,988.07 = 5,162.91/x
  3. Step 3: Cross multiply
    9,411.75x = 12,988.07 × 5,162.91
  4. Step 4: Simplify right side
    9,411.75x = 67,056,210.67
  5. Step 5: Solve for x
    x = 67,056,210.67/9,411.75
  6. Step 6: Final answer
    x = 7,124.73

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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.