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Finding the Fourth Proportional to 9,111.91, 12,574.38 and 5,132.92

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Solution

The fourth proportional to 9,111.91, 12,574.38 and 5,132.92 is: 7,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.91 : 12,574.38 = 5,132.92 : x
  2. Step 2: Convert to fraction form
    9,111.91/12,574.38 = 5,132.92/x
  3. Step 3: Cross multiply
    9,111.91x = 12,574.38 × 5,132.92
  4. Step 4: Simplify right side
    9,111.91x = 64,543,286.59
  5. Step 5: Solve for x
    x = 64,543,286.59/9,111.91
  6. Step 6: Final answer
    x = 7,083.40

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Why These Related Problems?

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