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Finding the Fourth Proportional to 9,976.90, 14,964.15 and 4,132.90

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Solution

The fourth proportional to 9,976.90, 14,964.15 and 4,132.90 is: 6,198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.90 : 14,964.15 = 4,132.90 : x
  2. Step 2: Convert to fraction form
    9,976.90/14,964.15 = 4,132.90/x
  3. Step 3: Cross multiply
    9,976.90x = 14,964.15 × 4,132.90
  4. Step 4: Simplify right side
    9,976.90x = 61,845,335.54
  5. Step 5: Solve for x
    x = 61,845,335.54/9,976.90
  6. Step 6: Final answer
    x = 6,198.85

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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.