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Finding the Fourth Proportional to 9,965.46, 13,752.18 and 5,717.28

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Solution

The fourth proportional to 9,965.46, 13,752.18 and 5,717.28 is: 7,889.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.46 : 13,752.18 = 5,717.28 : x
  2. Step 2: Convert to fraction form
    9,965.46/13,752.18 = 5,717.28/x
  3. Step 3: Cross multiply
    9,965.46x = 13,752.18 × 5,717.28
  4. Step 4: Simplify right side
    9,965.46x = 78,625,063.67
  5. Step 5: Solve for x
    x = 78,625,063.67/9,965.46
  6. Step 6: Final answer
    x = 7,889.76

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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.