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Finding the Fourth Proportional to 6,002.96, 9,007.61 and 4,259.23

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Solution

The fourth proportional to 6,002.96, 9,007.61 and 4,259.23 is: 6,391.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.96 : 9,007.61 = 4,259.23 : x
  2. Step 2: Convert to fraction form
    6,002.96/9,007.61 = 4,259.23/x
  3. Step 3: Cross multiply
    6,002.96x = 9,007.61 × 4,259.23
  4. Step 4: Simplify right side
    6,002.96x = 38,365,438.93
  5. Step 5: Solve for x
    x = 38,365,438.93/6,002.96
  6. Step 6: Final answer
    x = 6,391.09

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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.