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Finding the Fourth Proportional to 8,970.82, 13,456.24 and 4,039.54

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Solution

The fourth proportional to 8,970.82, 13,456.24 and 4,039.54 is: 6,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.82 : 13,456.24 = 4,039.54 : x
  2. Step 2: Convert to fraction form
    8,970.82/13,456.24 = 4,039.54/x
  3. Step 3: Cross multiply
    8,970.82x = 13,456.24 × 4,039.54
  4. Step 4: Simplify right side
    8,970.82x = 54,357,019.73
  5. Step 5: Solve for x
    x = 54,357,019.73/8,970.82
  6. Step 6: Final answer
    x = 6,059.31

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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.