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Finding the Fourth Proportional to 6,334.16, 9,500.38 and 1,654.49

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Solution

The fourth proportional to 6,334.16, 9,500.38 and 1,654.49 is: 2,481.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.16 : 9,500.38 = 1,654.49 : x
  2. Step 2: Convert to fraction form
    6,334.16/9,500.38 = 1,654.49/x
  3. Step 3: Cross multiply
    6,334.16x = 9,500.38 × 1,654.49
  4. Step 4: Simplify right side
    6,334.16x = 15,718,303.32
  5. Step 5: Solve for x
    x = 15,718,303.32/6,334.16
  6. Step 6: Final answer
    x = 2,481.52

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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.