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Finding the Fourth Proportional to 9,348.90, 14,023.97 and 3,505.16

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Solution

The fourth proportional to 9,348.90, 14,023.97 and 3,505.16 is: 5,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.90 : 14,023.97 = 3,505.16 : x
  2. Step 2: Convert to fraction form
    9,348.90/14,023.97 = 3,505.16/x
  3. Step 3: Cross multiply
    9,348.90x = 14,023.97 × 3,505.16
  4. Step 4: Simplify right side
    9,348.90x = 49,156,171.04
  5. Step 5: Solve for x
    x = 49,156,171.04/9,348.90
  6. Step 6: Final answer
    x = 5,257.96

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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.