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Finding the Fourth Proportional to 8,924.30, 12,309.96 and 5,741.74

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Solution

The fourth proportional to 8,924.30, 12,309.96 and 5,741.74 is: 7,920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,924.30 : 12,309.96 = 5,741.74 : x
  2. Step 2: Convert to fraction form
    8,924.30/12,309.96 = 5,741.74/x
  3. Step 3: Cross multiply
    8,924.30x = 12,309.96 × 5,741.74
  4. Step 4: Simplify right side
    8,924.30x = 70,680,589.73
  5. Step 5: Solve for x
    x = 70,680,589.73/8,924.30
  6. Step 6: Final answer
    x = 7,920.01

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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.