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Finding the Fourth Proportional to 9,720.92, 14,581.56 and 3,147.32

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Solution

The fourth proportional to 9,720.92, 14,581.56 and 3,147.32 is: 4,721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.92 : 14,581.56 = 3,147.32 : x
  2. Step 2: Convert to fraction form
    9,720.92/14,581.56 = 3,147.32/x
  3. Step 3: Cross multiply
    9,720.92x = 14,581.56 × 3,147.32
  4. Step 4: Simplify right side
    9,720.92x = 45,892,835.42
  5. Step 5: Solve for x
    x = 45,892,835.42/9,720.92
  6. Step 6: Final answer
    x = 4,721.04

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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.