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Finding the Fourth Proportional to 9,457.80, 14,188.20 and 2,882.48

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Solution

The fourth proportional to 9,457.80, 14,188.20 and 2,882.48 is: 4,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.80 : 14,188.20 = 2,882.48 : x
  2. Step 2: Convert to fraction form
    9,457.80/14,188.20 = 2,882.48/x
  3. Step 3: Cross multiply
    9,457.80x = 14,188.20 × 2,882.48
  4. Step 4: Simplify right side
    9,457.80x = 40,897,202.74
  5. Step 5: Solve for x
    x = 40,897,202.74/9,457.80
  6. Step 6: Final answer
    x = 4,324.18

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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.