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Finding the Fourth Proportional to 6,262.71, 9,389.61 and 3,140.46

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Solution

The fourth proportional to 6,262.71, 9,389.61 and 3,140.46 is: 4,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.71 : 9,389.61 = 3,140.46 : x
  2. Step 2: Convert to fraction form
    6,262.71/9,389.61 = 3,140.46/x
  3. Step 3: Cross multiply
    6,262.71x = 9,389.61 × 3,140.46
  4. Step 4: Simplify right side
    6,262.71x = 29,487,694.62
  5. Step 5: Solve for x
    x = 29,487,694.62/6,262.71
  6. Step 6: Final answer
    x = 4,708.46

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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.