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Finding the Fourth Proportional to 6,209.68, 9,320.64 and 4,561.60

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Solution

The fourth proportional to 6,209.68, 9,320.64 and 4,561.60 is: 6,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.68 : 9,320.64 = 4,561.60 : x
  2. Step 2: Convert to fraction form
    6,209.68/9,320.64 = 4,561.60/x
  3. Step 3: Cross multiply
    6,209.68x = 9,320.64 × 4,561.60
  4. Step 4: Simplify right side
    6,209.68x = 42,517,031.42
  5. Step 5: Solve for x
    x = 42,517,031.42/6,209.68
  6. Step 6: Final answer
    x = 6,846.90

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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.