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Finding the Fourth Proportional to 9,154.91, 12,633.84 and 4,963.16

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Solution

The fourth proportional to 9,154.91, 12,633.84 and 4,963.16 is: 6,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.91 : 12,633.84 = 4,963.16 : x
  2. Step 2: Convert to fraction form
    9,154.91/12,633.84 = 4,963.16/x
  3. Step 3: Cross multiply
    9,154.91x = 12,633.84 × 4,963.16
  4. Step 4: Simplify right side
    9,154.91x = 62,703,769.33
  5. Step 5: Solve for x
    x = 62,703,769.33/9,154.91
  6. Step 6: Final answer
    x = 6,849.20

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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.