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Finding the Fourth Proportional to 12,009.14, 16,572.52 and 6,976.30

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Solution

The fourth proportional to 12,009.14, 16,572.52 and 6,976.30 is: 9,627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.14 : 16,572.52 = 6,976.30 : x
  2. Step 2: Convert to fraction form
    12,009.14/16,572.52 = 6,976.30/x
  3. Step 3: Cross multiply
    12,009.14x = 16,572.52 × 6,976.30
  4. Step 4: Simplify right side
    12,009.14x = 115,614,871.28
  5. Step 5: Solve for x
    x = 115,614,871.28/12,009.14
  6. Step 6: Final answer
    x = 9,627.24

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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.