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Finding the Fourth Proportional to 9,278.31, 13,922.03 and 4,347.10

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Solution

The fourth proportional to 9,278.31, 13,922.03 and 4,347.10 is: 6,522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.31 : 13,922.03 = 4,347.10 : x
  2. Step 2: Convert to fraction form
    9,278.31/13,922.03 = 4,347.10/x
  3. Step 3: Cross multiply
    9,278.31x = 13,922.03 × 4,347.10
  4. Step 4: Simplify right side
    9,278.31x = 60,520,456.61
  5. Step 5: Solve for x
    x = 60,520,456.61/9,278.31
  6. Step 6: Final answer
    x = 6,522.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.