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Finding the Fourth Proportional to 6,251.27, 9,368.71 and 4,600.09

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Solution

The fourth proportional to 6,251.27, 9,368.71 and 4,600.09 is: 6,894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251.27 : 9,368.71 = 4,600.09 : x
  2. Step 2: Convert to fraction form
    6,251.27/9,368.71 = 4,600.09/x
  3. Step 3: Cross multiply
    6,251.27x = 9,368.71 × 4,600.09
  4. Step 4: Simplify right side
    6,251.27x = 43,096,839.34
  5. Step 5: Solve for x
    x = 43,096,839.34/6,251.27
  6. Step 6: Final answer
    x = 6,894.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.