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Finding the Fourth Proportional to 6,452.30, 9,669.45 and 5,138.30

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Solution

The fourth proportional to 6,452.30, 9,669.45 and 5,138.30 is: 7,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.30 : 9,669.45 = 5,138.30 : x
  2. Step 2: Convert to fraction form
    6,452.30/9,669.45 = 5,138.30/x
  3. Step 3: Cross multiply
    6,452.30x = 9,669.45 × 5,138.30
  4. Step 4: Simplify right side
    6,452.30x = 49,684,534.94
  5. Step 5: Solve for x
    x = 49,684,534.94/6,452.30
  6. Step 6: Final answer
    x = 7,700.28

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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.