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Finding the Fourth Proportional to 6,159.42, 9,232.91 and 2,651.72

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Solution

The fourth proportional to 6,159.42, 9,232.91 and 2,651.72 is: 3,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.42 : 9,232.91 = 2,651.72 : x
  2. Step 2: Convert to fraction form
    6,159.42/9,232.91 = 2,651.72/x
  3. Step 3: Cross multiply
    6,159.42x = 9,232.91 × 2,651.72
  4. Step 4: Simplify right side
    6,159.42x = 24,483,032.68
  5. Step 5: Solve for x
    x = 24,483,032.68/6,159.42
  6. Step 6: Final answer
    x = 3,974.89

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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.