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Finding the Fourth Proportional to 6,148.80, 9,216.48 and 3,546.72

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Solution

The fourth proportional to 6,148.80, 9,216.48 and 3,546.72 is: 5,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.80 : 9,216.48 = 3,546.72 : x
  2. Step 2: Convert to fraction form
    6,148.80/9,216.48 = 3,546.72/x
  3. Step 3: Cross multiply
    6,148.80x = 9,216.48 × 3,546.72
  4. Step 4: Simplify right side
    6,148.80x = 32,688,273.95
  5. Step 5: Solve for x
    x = 32,688,273.95/6,148.80
  6. Step 6: Final answer
    x = 5,316.20

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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.