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Finding the Fourth Proportional to 8,456.56, 12,684.71 and 2,909.96

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Solution

The fourth proportional to 8,456.56, 12,684.71 and 2,909.96 is: 4,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.56 : 12,684.71 = 2,909.96 : x
  2. Step 2: Convert to fraction form
    8,456.56/12,684.71 = 2,909.96/x
  3. Step 3: Cross multiply
    8,456.56x = 12,684.71 × 2,909.96
  4. Step 4: Simplify right side
    8,456.56x = 36,911,920.74
  5. Step 5: Solve for x
    x = 36,911,920.74/8,456.56
  6. Step 6: Final answer
    x = 4,364.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.