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Finding the Fourth Proportional to 6,746.96, 10,095.76 and 3,974.96

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Solution

The fourth proportional to 6,746.96, 10,095.76 and 3,974.96 is: 5,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.96 : 10,095.76 = 3,974.96 : x
  2. Step 2: Convert to fraction form
    6,746.96/10,095.76 = 3,974.96/x
  3. Step 3: Cross multiply
    6,746.96x = 10,095.76 × 3,974.96
  4. Step 4: Simplify right side
    6,746.96x = 40,130,242.17
  5. Step 5: Solve for x
    x = 40,130,242.17/6,746.96
  6. Step 6: Final answer
    x = 5,947.90

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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.