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Finding the Fourth Proportional to 9,220.38, 13,830.70 and 2,294.88

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Solution

The fourth proportional to 9,220.38, 13,830.70 and 2,294.88 is: 3,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.38 : 13,830.70 = 2,294.88 : x
  2. Step 2: Convert to fraction form
    9,220.38/13,830.70 = 2,294.88/x
  3. Step 3: Cross multiply
    9,220.38x = 13,830.70 × 2,294.88
  4. Step 4: Simplify right side
    9,220.38x = 31,739,796.82
  5. Step 5: Solve for x
    x = 31,739,796.82/9,220.38
  6. Step 6: Final answer
    x = 3,442.35

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