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Finding the Fourth Proportional to 9,234.57, 13,851.72 and 4,301.40

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Solution

The fourth proportional to 9,234.57, 13,851.72 and 4,301.40 is: 6,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.57 : 13,851.72 = 4,301.40 : x
  2. Step 2: Convert to fraction form
    9,234.57/13,851.72 = 4,301.40/x
  3. Step 3: Cross multiply
    9,234.57x = 13,851.72 × 4,301.40
  4. Step 4: Simplify right side
    9,234.57x = 59,581,788.41
  5. Step 5: Solve for x
    x = 59,581,788.41/9,234.57
  6. Step 6: Final answer
    x = 6,452.04

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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.