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Finding the Fourth Proportional to 9,050.68, 12,489.82 and 5,071.76

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Solution

The fourth proportional to 9,050.68, 12,489.82 and 5,071.76 is: 6,998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050.68 : 12,489.82 = 5,071.76 : x
  2. Step 2: Convert to fraction form
    9,050.68/12,489.82 = 5,071.76/x
  3. Step 3: Cross multiply
    9,050.68x = 12,489.82 × 5,071.76
  4. Step 4: Simplify right side
    9,050.68x = 63,345,369.48
  5. Step 5: Solve for x
    x = 63,345,369.48/9,050.68
  6. Step 6: Final answer
    x = 6,998.96

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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.