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Finding the Fourth Proportional to 9,161.40, 12,641.86 and 5,182.80

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Solution

The fourth proportional to 9,161.40, 12,641.86 and 5,182.80 is: 7,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.40 : 12,641.86 = 5,182.80 : x
  2. Step 2: Convert to fraction form
    9,161.40/12,641.86 = 5,182.80/x
  3. Step 3: Cross multiply
    9,161.40x = 12,641.86 × 5,182.80
  4. Step 4: Simplify right side
    9,161.40x = 65,520,232.01
  5. Step 5: Solve for x
    x = 65,520,232.01/9,161.40
  6. Step 6: Final answer
    x = 7,151.77

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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.