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Finding the Fourth Proportional to 9,471.48, 14,209.25 and 2,897.44

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Solution

The fourth proportional to 9,471.48, 14,209.25 and 2,897.44 is: 4,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.48 : 14,209.25 = 2,897.44 : x
  2. Step 2: Convert to fraction form
    9,471.48/14,209.25 = 2,897.44/x
  3. Step 3: Cross multiply
    9,471.48x = 14,209.25 × 2,897.44
  4. Step 4: Simplify right side
    9,471.48x = 41,170,449.32
  5. Step 5: Solve for x
    x = 41,170,449.32/9,471.48
  6. Step 6: Final answer
    x = 4,346.78

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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.