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Finding the Fourth Proportional to 9,180.81, 12,658.42 and 7,761.99

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Solution

The fourth proportional to 9,180.81, 12,658.42 and 7,761.99 is: 10,702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.81 : 12,658.42 = 7,761.99 : x
  2. Step 2: Convert to fraction form
    9,180.81/12,658.42 = 7,761.99/x
  3. Step 3: Cross multiply
    9,180.81x = 12,658.42 × 7,761.99
  4. Step 4: Simplify right side
    9,180.81x = 98,254,529.46
  5. Step 5: Solve for x
    x = 98,254,529.46/9,180.81
  6. Step 6: Final answer
    x = 10,702.16

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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.