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Finding the Fourth Proportional to 6,009.57, 8,288.94 and 4,306.53

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Solution

The fourth proportional to 6,009.57, 8,288.94 and 4,306.53 is: 5,939.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.57 : 8,288.94 = 4,306.53 : x
  2. Step 2: Convert to fraction form
    6,009.57/8,288.94 = 4,306.53/x
  3. Step 3: Cross multiply
    6,009.57x = 8,288.94 × 4,306.53
  4. Step 4: Simplify right side
    6,009.57x = 35,696,568.78
  5. Step 5: Solve for x
    x = 35,696,568.78/6,009.57
  6. Step 6: Final answer
    x = 5,939.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.