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Finding the Fourth Proportional to 6,071.98, 9,046.58 and 5,986.38

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Solution

The fourth proportional to 6,071.98, 9,046.58 and 5,986.38 is: 8,919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.98 : 9,046.58 = 5,986.38 : x
  2. Step 2: Convert to fraction form
    6,071.98/9,046.58 = 5,986.38/x
  3. Step 3: Cross multiply
    6,071.98x = 9,046.58 × 5,986.38
  4. Step 4: Simplify right side
    6,071.98x = 54,156,265.58
  5. Step 5: Solve for x
    x = 54,156,265.58/6,071.98
  6. Step 6: Final answer
    x = 8,919.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.