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Finding the Fourth Proportional to 9,982.64, 14,973.92 and 7,793.20

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Solution

The fourth proportional to 9,982.64, 14,973.92 and 7,793.20 is: 11,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.64 : 14,973.92 = 7,793.20 : x
  2. Step 2: Convert to fraction form
    9,982.64/14,973.92 = 7,793.20/x
  3. Step 3: Cross multiply
    9,982.64x = 14,973.92 × 7,793.20
  4. Step 4: Simplify right side
    9,982.64x = 116,694,753.34
  5. Step 5: Solve for x
    x = 116,694,753.34/9,982.64
  6. Step 6: Final answer
    x = 11,689.77

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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.