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Finding the Fourth Proportional to 8,742.60, 12,074.56 and 6,776.92

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Solution

The fourth proportional to 8,742.60, 12,074.56 and 6,776.92 is: 9,359.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.60 : 12,074.56 = 6,776.92 : x
  2. Step 2: Convert to fraction form
    8,742.60/12,074.56 = 6,776.92/x
  3. Step 3: Cross multiply
    8,742.60x = 12,074.56 × 6,776.92
  4. Step 4: Simplify right side
    8,742.60x = 81,828,327.16
  5. Step 5: Solve for x
    x = 81,828,327.16/8,742.60
  6. Step 6: Final answer
    x = 9,359.72

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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.