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Finding the Fourth Proportional to 8,909.46, 12,284.37 and 7,712.82

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Solution

The fourth proportional to 8,909.46, 12,284.37 and 7,712.82 is: 10,634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.46 : 12,284.37 = 7,712.82 : x
  2. Step 2: Convert to fraction form
    8,909.46/12,284.37 = 7,712.82/x
  3. Step 3: Cross multiply
    8,909.46x = 12,284.37 × 7,712.82
  4. Step 4: Simplify right side
    8,909.46x = 94,747,134.62
  5. Step 5: Solve for x
    x = 94,747,134.62/8,909.46
  6. Step 6: Final answer
    x = 10,634.44

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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.