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Finding the Fourth Proportional to 6,007.25, 9,003.56 and 4,252.75

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Solution

The fourth proportional to 6,007.25, 9,003.56 and 4,252.75 is: 6,373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.25 : 9,003.56 = 4,252.75 : x
  2. Step 2: Convert to fraction form
    6,007.25/9,003.56 = 4,252.75/x
  3. Step 3: Cross multiply
    6,007.25x = 9,003.56 × 4,252.75
  4. Step 4: Simplify right side
    6,007.25x = 38,289,868.53
  5. Step 5: Solve for x
    x = 38,289,868.53/6,007.25
  6. Step 6: Final answer
    x = 6,373.94

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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.