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Finding the Fourth Proportional to 6,348.53, 9,504.07 and 4,001.36

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Solution

The fourth proportional to 6,348.53, 9,504.07 and 4,001.36 is: 5,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.53 : 9,504.07 = 4,001.36 : x
  2. Step 2: Convert to fraction form
    6,348.53/9,504.07 = 4,001.36/x
  3. Step 3: Cross multiply
    6,348.53x = 9,504.07 × 4,001.36
  4. Step 4: Simplify right side
    6,348.53x = 38,029,148.01
  5. Step 5: Solve for x
    x = 38,029,148.01/6,348.53
  6. Step 6: Final answer
    x = 5,990.23

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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.