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Finding the Fourth Proportional to 9,157.82, 12,637.10 and 6,177.70

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Solution

The fourth proportional to 9,157.82, 12,637.10 and 6,177.70 is: 8,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.82 : 12,637.10 = 6,177.70 : x
  2. Step 2: Convert to fraction form
    9,157.82/12,637.10 = 6,177.70/x
  3. Step 3: Cross multiply
    9,157.82x = 12,637.10 × 6,177.70
  4. Step 4: Simplify right side
    9,157.82x = 78,068,212.67
  5. Step 5: Solve for x
    x = 78,068,212.67/9,157.82
  6. Step 6: Final answer
    x = 8,524.76

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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.