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Finding the Fourth Proportional to 9,257.80, 13,871.88 and 6,612.88

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Solution

The fourth proportional to 9,257.80, 13,871.88 and 6,612.88 is: 9,908.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.80 : 13,871.88 = 6,612.88 : x
  2. Step 2: Convert to fraction form
    9,257.80/13,871.88 = 6,612.88/x
  3. Step 3: Cross multiply
    9,257.80x = 13,871.88 × 6,612.88
  4. Step 4: Simplify right side
    9,257.80x = 91,733,077.81
  5. Step 5: Solve for x
    x = 91,733,077.81/9,257.80
  6. Step 6: Final answer
    x = 9,908.73

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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.