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Finding the Fourth Proportional to 6,164.68, 9,246.86 and 2,267.40

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Solution

The fourth proportional to 6,164.68, 9,246.86 and 2,267.40 is: 3,401.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.68 : 9,246.86 = 2,267.40 : x
  2. Step 2: Convert to fraction form
    6,164.68/9,246.86 = 2,267.40/x
  3. Step 3: Cross multiply
    6,164.68x = 9,246.86 × 2,267.40
  4. Step 4: Simplify right side
    6,164.68x = 20,966,330.36
  5. Step 5: Solve for x
    x = 20,966,330.36/6,164.68
  6. Step 6: Final answer
    x = 3,401.04

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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.