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Finding the Fourth Proportional to 6,848.91, 9,449.28 and 4,193.55

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Solution

The fourth proportional to 6,848.91, 9,449.28 and 4,193.55 is: 5,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.91 : 9,449.28 = 4,193.55 : x
  2. Step 2: Convert to fraction form
    6,848.91/9,449.28 = 4,193.55/x
  3. Step 3: Cross multiply
    6,848.91x = 9,449.28 × 4,193.55
  4. Step 4: Simplify right side
    6,848.91x = 39,626,028.14
  5. Step 5: Solve for x
    x = 39,626,028.14/6,848.91
  6. Step 6: Final answer
    x = 5,785.74

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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.