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Finding the Fourth Proportional to 6,387.04, 9,564.49 and 4,039.93

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Solution

The fourth proportional to 6,387.04, 9,564.49 and 4,039.93 is: 6,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.04 : 9,564.49 = 4,039.93 : x
  2. Step 2: Convert to fraction form
    6,387.04/9,564.49 = 4,039.93/x
  3. Step 3: Cross multiply
    6,387.04x = 9,564.49 × 4,039.93
  4. Step 4: Simplify right side
    6,387.04x = 38,639,870.09
  5. Step 5: Solve for x
    x = 38,639,870.09/6,387.04
  6. Step 6: Final answer
    x = 6,049.73

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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.