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Finding the Fourth Proportional to 6,165.10, 9,248.55 and 2,004.40

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Solution

The fourth proportional to 6,165.10, 9,248.55 and 2,004.40 is: 3,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.10 : 9,248.55 = 2,004.40 : x
  2. Step 2: Convert to fraction form
    6,165.10/9,248.55 = 2,004.40/x
  3. Step 3: Cross multiply
    6,165.10x = 9,248.55 × 2,004.40
  4. Step 4: Simplify right side
    6,165.10x = 18,537,793.62
  5. Step 5: Solve for x
    x = 18,537,793.62/6,165.10
  6. Step 6: Final answer
    x = 3,006.89

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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.