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Finding the Fourth Proportional to 9,158.38, 12,631.89 and 5,801.74

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Solution

The fourth proportional to 9,158.38, 12,631.89 and 5,801.74 is: 8,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.38 : 12,631.89 = 5,801.74 : x
  2. Step 2: Convert to fraction form
    9,158.38/12,631.89 = 5,801.74/x
  3. Step 3: Cross multiply
    9,158.38x = 12,631.89 × 5,801.74
  4. Step 4: Simplify right side
    9,158.38x = 73,286,941.49
  5. Step 5: Solve for x
    x = 73,286,941.49/9,158.38
  6. Step 6: Final answer
    x = 8,002.17

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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.