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Finding the Fourth Proportional to 8,972.99, 12,382.72 and 5,196.35

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Solution

The fourth proportional to 8,972.99, 12,382.72 and 5,196.35 is: 7,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.99 : 12,382.72 = 5,196.35 : x
  2. Step 2: Convert to fraction form
    8,972.99/12,382.72 = 5,196.35/x
  3. Step 3: Cross multiply
    8,972.99x = 12,382.72 × 5,196.35
  4. Step 4: Simplify right side
    8,972.99x = 64,344,947.07
  5. Step 5: Solve for x
    x = 64,344,947.07/8,972.99
  6. Step 6: Final answer
    x = 7,170.96

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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.