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Finding the Fourth Proportional to 9,663.28, 13,346.20 and 6,514

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Solution

The fourth proportional to 9,663.28, 13,346.20 and 6,514 is: 8,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.28 : 13,346.20 = 6,514 : x
  2. Step 2: Convert to fraction form
    9,663.28/13,346.20 = 6,514/x
  3. Step 3: Cross multiply
    9,663.28x = 13,346.20 × 6,514
  4. Step 4: Simplify right side
    9,663.28x = 86,937,146.80
  5. Step 5: Solve for x
    x = 86,937,146.80/9,663.28
  6. Step 6: Final answer
    x = 8,996.65

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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.