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Finding the Fourth Proportional to 9,803.26, 13,524.92 and 6,447.88

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Solution

The fourth proportional to 9,803.26, 13,524.92 and 6,447.88 is: 8,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.26 : 13,524.92 = 6,447.88 : x
  2. Step 2: Convert to fraction form
    9,803.26/13,524.92 = 6,447.88/x
  3. Step 3: Cross multiply
    9,803.26x = 13,524.92 × 6,447.88
  4. Step 4: Simplify right side
    9,803.26x = 87,207,061.17
  5. Step 5: Solve for x
    x = 87,207,061.17/9,803.26
  6. Step 6: Final answer
    x = 8,895.72

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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.