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Finding the Fourth Proportional to 6,399.61, 9,602.16 and 2,452.07

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Solution

The fourth proportional to 6,399.61, 9,602.16 and 2,452.07 is: 3,679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.61 : 9,602.16 = 2,452.07 : x
  2. Step 2: Convert to fraction form
    6,399.61/9,602.16 = 2,452.07/x
  3. Step 3: Cross multiply
    6,399.61x = 9,602.16 × 2,452.07
  4. Step 4: Simplify right side
    6,399.61x = 23,545,168.47
  5. Step 5: Solve for x
    x = 23,545,168.47/6,399.61
  6. Step 6: Final answer
    x = 3,679.16

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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.