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Finding the Fourth Proportional to 9,292.17, 12,822.34 and 5,514.68

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Solution

The fourth proportional to 9,292.17, 12,822.34 and 5,514.68 is: 7,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.17 : 12,822.34 = 5,514.68 : x
  2. Step 2: Convert to fraction form
    9,292.17/12,822.34 = 5,514.68/x
  3. Step 3: Cross multiply
    9,292.17x = 12,822.34 × 5,514.68
  4. Step 4: Simplify right side
    9,292.17x = 70,711,101.95
  5. Step 5: Solve for x
    x = 70,711,101.95/9,292.17
  6. Step 6: Final answer
    x = 7,609.75

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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.