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Finding the Fourth Proportional to 9,160.98, 13,744.80 and 3,897.42

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Solution

The fourth proportional to 9,160.98, 13,744.80 and 3,897.42 is: 5,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.98 : 13,744.80 = 3,897.42 : x
  2. Step 2: Convert to fraction form
    9,160.98/13,744.80 = 3,897.42/x
  3. Step 3: Cross multiply
    9,160.98x = 13,744.80 × 3,897.42
  4. Step 4: Simplify right side
    9,160.98x = 53,569,258.42
  5. Step 5: Solve for x
    x = 53,569,258.42/9,160.98
  6. Step 6: Final answer
    x = 5,847.55

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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.