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Finding the Fourth Proportional to 6,863.82, 9,470.48 and 4,031.04

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Solution

The fourth proportional to 6,863.82, 9,470.48 and 4,031.04 is: 5,561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.82 : 9,470.48 = 4,031.04 : x
  2. Step 2: Convert to fraction form
    6,863.82/9,470.48 = 4,031.04/x
  3. Step 3: Cross multiply
    6,863.82x = 9,470.48 × 4,031.04
  4. Step 4: Simplify right side
    6,863.82x = 38,175,899.06
  5. Step 5: Solve for x
    x = 38,175,899.06/6,863.82
  6. Step 6: Final answer
    x = 5,561.91

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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.