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Finding the Fourth Proportional to 6,500.47, 9,741.86 and 2,749.13

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Solution

The fourth proportional to 6,500.47, 9,741.86 and 2,749.13 is: 4,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.47 : 9,741.86 = 2,749.13 : x
  2. Step 2: Convert to fraction form
    6,500.47/9,741.86 = 2,749.13/x
  3. Step 3: Cross multiply
    6,500.47x = 9,741.86 × 2,749.13
  4. Step 4: Simplify right side
    6,500.47x = 26,781,622.10
  5. Step 5: Solve for x
    x = 26,781,622.10/6,500.47
  6. Step 6: Final answer
    x = 4,119.95

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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.