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Finding the Fourth Proportional to 9,902.90, 14,849.70 and 5,744.08

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Solution

The fourth proportional to 9,902.90, 14,849.70 and 5,744.08 is: 8,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.90 : 14,849.70 = 5,744.08 : x
  2. Step 2: Convert to fraction form
    9,902.90/14,849.70 = 5,744.08/x
  3. Step 3: Cross multiply
    9,902.90x = 14,849.70 × 5,744.08
  4. Step 4: Simplify right side
    9,902.90x = 85,297,864.78
  5. Step 5: Solve for x
    x = 85,297,864.78/9,902.90
  6. Step 6: Final answer
    x = 8,613.42

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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.