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Finding the Fourth Proportional to 6,848.29, 9,452.17 and 4,454.10

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Solution

The fourth proportional to 6,848.29, 9,452.17 and 4,454.10 is: 6,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.29 : 9,452.17 = 4,454.10 : x
  2. Step 2: Convert to fraction form
    6,848.29/9,452.17 = 4,454.10/x
  3. Step 3: Cross multiply
    6,848.29x = 9,452.17 × 4,454.10
  4. Step 4: Simplify right side
    6,848.29x = 42,100,899.26
  5. Step 5: Solve for x
    x = 42,100,899.26/6,848.29
  6. Step 6: Final answer
    x = 6,147.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.