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Finding the Fourth Proportional to 8,966.60, 13,456.86 and 6,212.58

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Solution

The fourth proportional to 8,966.60, 13,456.86 and 6,212.58 is: 9,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.60 : 13,456.86 = 6,212.58 : x
  2. Step 2: Convert to fraction form
    8,966.60/13,456.86 = 6,212.58/x
  3. Step 3: Cross multiply
    8,966.60x = 13,456.86 × 6,212.58
  4. Step 4: Simplify right side
    8,966.60x = 83,601,819.30
  5. Step 5: Solve for x
    x = 83,601,819.30/8,966.60
  6. Step 6: Final answer
    x = 9,323.69

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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.