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Finding the Fourth Proportional to 10,647.20, 14,693.28 and 6,171.20

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Solution

The fourth proportional to 10,647.20, 14,693.28 and 6,171.20 is: 8,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.20 : 14,693.28 = 6,171.20 : x
  2. Step 2: Convert to fraction form
    10,647.20/14,693.28 = 6,171.20/x
  3. Step 3: Cross multiply
    10,647.20x = 14,693.28 × 6,171.20
  4. Step 4: Simplify right side
    10,647.20x = 90,675,169.54
  5. Step 5: Solve for x
    x = 90,675,169.54/10,647.20
  6. Step 6: Final answer
    x = 8,516.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.