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Finding the Fourth Proportional to 6,444.89, 9,666.17 and 2,934.06

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Solution

The fourth proportional to 6,444.89, 9,666.17 and 2,934.06 is: 4,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.89 : 9,666.17 = 2,934.06 : x
  2. Step 2: Convert to fraction form
    6,444.89/9,666.17 = 2,934.06/x
  3. Step 3: Cross multiply
    6,444.89x = 9,666.17 × 2,934.06
  4. Step 4: Simplify right side
    6,444.89x = 28,361,122.75
  5. Step 5: Solve for x
    x = 28,361,122.75/6,444.89
  6. Step 6: Final answer
    x = 4,400.56

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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.