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Finding the Fourth Proportional to 6,187.68, 9,275.76 and 4,552.56

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Solution

The fourth proportional to 6,187.68, 9,275.76 and 4,552.56 is: 6,824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.68 : 9,275.76 = 4,552.56 : x
  2. Step 2: Convert to fraction form
    6,187.68/9,275.76 = 4,552.56/x
  3. Step 3: Cross multiply
    6,187.68x = 9,275.76 × 4,552.56
  4. Step 4: Simplify right side
    6,187.68x = 42,228,453.95
  5. Step 5: Solve for x
    x = 42,228,453.95/6,187.68
  6. Step 6: Final answer
    x = 6,824.60

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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.