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Finding the Fourth Proportional to 9,180.54, 12,658.01 and 7,761.69

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Solution

The fourth proportional to 9,180.54, 12,658.01 and 7,761.69 is: 10,701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.54 : 12,658.01 = 7,761.69 : x
  2. Step 2: Convert to fraction form
    9,180.54/12,658.01 = 7,761.69/x
  3. Step 3: Cross multiply
    9,180.54x = 12,658.01 × 7,761.69
  4. Step 4: Simplify right side
    9,180.54x = 98,247,510.83
  5. Step 5: Solve for x
    x = 98,247,510.83/9,180.54
  6. Step 6: Final answer
    x = 10,701.71

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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.