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Finding the Fourth Proportional to 9,569.50, 14,353.42 and 3,327.90

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Solution

The fourth proportional to 9,569.50, 14,353.42 and 3,327.90 is: 4,991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.50 : 14,353.42 = 3,327.90 : x
  2. Step 2: Convert to fraction form
    9,569.50/14,353.42 = 3,327.90/x
  3. Step 3: Cross multiply
    9,569.50x = 14,353.42 × 3,327.90
  4. Step 4: Simplify right side
    9,569.50x = 47,766,746.42
  5. Step 5: Solve for x
    x = 47,766,746.42/9,569.50
  6. Step 6: Final answer
    x = 4,991.56

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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.