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Finding the Fourth Proportional to 9,708.12, 14,560.56 and 2,781

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Solution

The fourth proportional to 9,708.12, 14,560.56 and 2,781 is: 4,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.12 : 14,560.56 = 2,781 : x
  2. Step 2: Convert to fraction form
    9,708.12/14,560.56 = 2,781/x
  3. Step 3: Cross multiply
    9,708.12x = 14,560.56 × 2,781
  4. Step 4: Simplify right side
    9,708.12x = 40,492,917.36
  5. Step 5: Solve for x
    x = 40,492,917.36/9,708.12
  6. Step 6: Final answer
    x = 4,171.04

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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.