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Finding the Fourth Proportional to 9,160.98, 12,641.72 and 5,182.67

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Solution

The fourth proportional to 9,160.98, 12,641.72 and 5,182.67 is: 7,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.98 : 12,641.72 = 5,182.67 : x
  2. Step 2: Convert to fraction form
    9,160.98/12,641.72 = 5,182.67/x
  3. Step 3: Cross multiply
    9,160.98x = 12,641.72 × 5,182.67
  4. Step 4: Simplify right side
    9,160.98x = 65,517,773.87
  5. Step 5: Solve for x
    x = 65,517,773.87/9,160.98
  6. Step 6: Final answer
    x = 7,151.83

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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.