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Finding the Fourth Proportional to 9,195.50, 12,689.79 and 5,003.78

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Solution

The fourth proportional to 9,195.50, 12,689.79 and 5,003.78 is: 6,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.50 : 12,689.79 = 5,003.78 : x
  2. Step 2: Convert to fraction form
    9,195.50/12,689.79 = 5,003.78/x
  3. Step 3: Cross multiply
    9,195.50x = 12,689.79 × 5,003.78
  4. Step 4: Simplify right side
    9,195.50x = 63,496,917.41
  5. Step 5: Solve for x
    x = 63,496,917.41/9,195.50
  6. Step 6: Final answer
    x = 6,905.22

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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.