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Finding the Fourth Proportional to 6,842.64, 9,443.88 and 4,049.04

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Solution

The fourth proportional to 6,842.64, 9,443.88 and 4,049.04 is: 5,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.64 : 9,443.88 = 4,049.04 : x
  2. Step 2: Convert to fraction form
    6,842.64/9,443.88 = 4,049.04/x
  3. Step 3: Cross multiply
    6,842.64x = 9,443.88 × 4,049.04
  4. Step 4: Simplify right side
    6,842.64x = 38,238,647.88
  5. Step 5: Solve for x
    x = 38,238,647.88/6,842.64
  6. Step 6: Final answer
    x = 5,588.29

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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.