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Finding the Fourth Proportional to 9,905.80, 14,848.62 and 5,522.44

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Solution

The fourth proportional to 9,905.80, 14,848.62 and 5,522.44 is: 8,278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.80 : 14,848.62 = 5,522.44 : x
  2. Step 2: Convert to fraction form
    9,905.80/14,848.62 = 5,522.44/x
  3. Step 3: Cross multiply
    9,905.80x = 14,848.62 × 5,522.44
  4. Step 4: Simplify right side
    9,905.80x = 82,000,613.03
  5. Step 5: Solve for x
    x = 82,000,613.03/9,905.80
  6. Step 6: Final answer
    x = 8,278.04

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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.