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Finding the Fourth Proportional to 9,282.80, 13,901.13 and 6,496.44

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Solution

The fourth proportional to 9,282.80, 13,901.13 and 6,496.44 is: 9,728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.80 : 13,901.13 = 6,496.44 : x
  2. Step 2: Convert to fraction form
    9,282.80/13,901.13 = 6,496.44/x
  3. Step 3: Cross multiply
    9,282.80x = 13,901.13 × 6,496.44
  4. Step 4: Simplify right side
    9,282.80x = 90,307,856.98
  5. Step 5: Solve for x
    x = 90,307,856.98/9,282.80
  6. Step 6: Final answer
    x = 9,728.52

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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.