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Finding the Fourth Proportional to 6,147.68, 9,218.80 and 1,764.12

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Solution

The fourth proportional to 6,147.68, 9,218.80 and 1,764.12 is: 2,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.68 : 9,218.80 = 1,764.12 : x
  2. Step 2: Convert to fraction form
    6,147.68/9,218.80 = 1,764.12/x
  3. Step 3: Cross multiply
    6,147.68x = 9,218.80 × 1,764.12
  4. Step 4: Simplify right side
    6,147.68x = 16,263,069.46
  5. Step 5: Solve for x
    x = 16,263,069.46/6,147.68
  6. Step 6: Final answer
    x = 2,645.40

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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.