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Finding the Fourth Proportional to 9,157.38, 12,630.51 and 5,800.74

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Solution

The fourth proportional to 9,157.38, 12,630.51 and 5,800.74 is: 8,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.38 : 12,630.51 = 5,800.74 : x
  2. Step 2: Convert to fraction form
    9,157.38/12,630.51 = 5,800.74/x
  3. Step 3: Cross multiply
    9,157.38x = 12,630.51 × 5,800.74
  4. Step 4: Simplify right side
    9,157.38x = 73,266,304.58
  5. Step 5: Solve for x
    x = 73,266,304.58/9,157.38
  6. Step 6: Final answer
    x = 8,000.79

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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.