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Finding the Fourth Proportional to 9,154.46, 12,632.82 and 5,174.72

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Solution

The fourth proportional to 9,154.46, 12,632.82 and 5,174.72 is: 7,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.46 : 12,632.82 = 5,174.72 : x
  2. Step 2: Convert to fraction form
    9,154.46/12,632.82 = 5,174.72/x
  3. Step 3: Cross multiply
    9,154.46x = 12,632.82 × 5,174.72
  4. Step 4: Simplify right side
    9,154.46x = 65,371,306.31
  5. Step 5: Solve for x
    x = 65,371,306.31/9,154.46
  6. Step 6: Final answer
    x = 7,140.92

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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.