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Finding the Fourth Proportional to 6,114.92, 9,161.60 and 4,262.46

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Solution

The fourth proportional to 6,114.92, 9,161.60 and 4,262.46 is: 6,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.92 : 9,161.60 = 4,262.46 : x
  2. Step 2: Convert to fraction form
    6,114.92/9,161.60 = 4,262.46/x
  3. Step 3: Cross multiply
    6,114.92x = 9,161.60 × 4,262.46
  4. Step 4: Simplify right side
    6,114.92x = 39,050,953.54
  5. Step 5: Solve for x
    x = 39,050,953.54/6,114.92
  6. Step 6: Final answer
    x = 6,386.18

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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.