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Finding the Fourth Proportional to 8,814.28, 13,221 and 2,971.12

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Solution

The fourth proportional to 8,814.28, 13,221 and 2,971.12 is: 4,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.28 : 13,221 = 2,971.12 : x
  2. Step 2: Convert to fraction form
    8,814.28/13,221 = 2,971.12/x
  3. Step 3: Cross multiply
    8,814.28x = 13,221 × 2,971.12
  4. Step 4: Simplify right side
    8,814.28x = 39,281,177.52
  5. Step 5: Solve for x
    x = 39,281,177.52/8,814.28
  6. Step 6: Final answer
    x = 4,456.54

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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.