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Finding the Fourth Proportional to 6,484.78, 9,728.59 and 2,102.68

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Solution

The fourth proportional to 6,484.78, 9,728.59 and 2,102.68 is: 3,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.78 : 9,728.59 = 2,102.68 : x
  2. Step 2: Convert to fraction form
    6,484.78/9,728.59 = 2,102.68/x
  3. Step 3: Cross multiply
    6,484.78x = 9,728.59 × 2,102.68
  4. Step 4: Simplify right side
    6,484.78x = 20,456,082.04
  5. Step 5: Solve for x
    x = 20,456,082.04/6,484.78
  6. Step 6: Final answer
    x = 3,154.48

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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.