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Finding the Fourth Proportional to 6,002.42, 9,002.58 and 2,714.75

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Solution

The fourth proportional to 6,002.42, 9,002.58 and 2,714.75 is: 4,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.42 : 9,002.58 = 2,714.75 : x
  2. Step 2: Convert to fraction form
    6,002.42/9,002.58 = 2,714.75/x
  3. Step 3: Cross multiply
    6,002.42x = 9,002.58 × 2,714.75
  4. Step 4: Simplify right side
    6,002.42x = 24,439,709.04
  5. Step 5: Solve for x
    x = 24,439,709.04/6,002.42
  6. Step 6: Final answer
    x = 4,071.65

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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.