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Finding the Fourth Proportional to 6,356.32, 9,537.20 and 3,280.48

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Solution

The fourth proportional to 6,356.32, 9,537.20 and 3,280.48 is: 4,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.32 : 9,537.20 = 3,280.48 : x
  2. Step 2: Convert to fraction form
    6,356.32/9,537.20 = 3,280.48/x
  3. Step 3: Cross multiply
    6,356.32x = 9,537.20 × 3,280.48
  4. Step 4: Simplify right side
    6,356.32x = 31,286,593.86
  5. Step 5: Solve for x
    x = 31,286,593.86/6,356.32
  6. Step 6: Final answer
    x = 4,922.12

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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.