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Finding the Fourth Proportional to 8,989.80, 12,377.69 and 7,642.76

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Solution

The fourth proportional to 8,989.80, 12,377.69 and 7,642.76 is: 10,522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,989.80 : 12,377.69 = 7,642.76 : x
  2. Step 2: Convert to fraction form
    8,989.80/12,377.69 = 7,642.76/x
  3. Step 3: Cross multiply
    8,989.80x = 12,377.69 × 7,642.76
  4. Step 4: Simplify right side
    8,989.80x = 94,599,613.92
  5. Step 5: Solve for x
    x = 94,599,613.92/8,989.80
  6. Step 6: Final answer
    x = 10,522.99

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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.