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Finding the Fourth Proportional to 9,965.84, 13,752.92 and 5,717.08

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Solution

The fourth proportional to 9,965.84, 13,752.92 and 5,717.08 is: 7,889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.84 : 13,752.92 = 5,717.08 : x
  2. Step 2: Convert to fraction form
    9,965.84/13,752.92 = 5,717.08/x
  3. Step 3: Cross multiply
    9,965.84x = 13,752.92 × 5,717.08
  4. Step 4: Simplify right side
    9,965.84x = 78,626,575.36
  5. Step 5: Solve for x
    x = 78,626,575.36/9,965.84
  6. Step 6: Final answer
    x = 7,889.61

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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.