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Finding the Fourth Proportional to 9,663.84, 13,315.52 and 6,514.56

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Solution

The fourth proportional to 9,663.84, 13,315.52 and 6,514.56 is: 8,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.84 : 13,315.52 = 6,514.56 : x
  2. Step 2: Convert to fraction form
    9,663.84/13,315.52 = 6,514.56/x
  3. Step 3: Cross multiply
    9,663.84x = 13,315.52 × 6,514.56
  4. Step 4: Simplify right side
    9,663.84x = 86,744,753.97
  5. Step 5: Solve for x
    x = 86,744,753.97/9,663.84
  6. Step 6: Final answer
    x = 8,976.22

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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.