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Finding the Fourth Proportional to 9,294.06, 12,819.72 and 5,514.42

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Solution

The fourth proportional to 9,294.06, 12,819.72 and 5,514.42 is: 7,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.06 : 12,819.72 = 5,514.42 : x
  2. Step 2: Convert to fraction form
    9,294.06/12,819.72 = 5,514.42/x
  3. Step 3: Cross multiply
    9,294.06x = 12,819.72 × 5,514.42
  4. Step 4: Simplify right side
    9,294.06x = 70,693,320.36
  5. Step 5: Solve for x
    x = 70,693,320.36/9,294.06
  6. Step 6: Final answer
    x = 7,606.29

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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.