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Finding the Fourth Proportional to 9,160.83, 12,641.44 and 5,182.74

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Solution

The fourth proportional to 9,160.83, 12,641.44 and 5,182.74 is: 7,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.83 : 12,641.44 = 5,182.74 : x
  2. Step 2: Convert to fraction form
    9,160.83/12,641.44 = 5,182.74/x
  3. Step 3: Cross multiply
    9,160.83x = 12,641.44 × 5,182.74
  4. Step 4: Simplify right side
    9,160.83x = 65,517,296.75
  5. Step 5: Solve for x
    x = 65,517,296.75/9,160.83
  6. Step 6: Final answer
    x = 7,151.90

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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.