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Finding the Fourth Proportional to 9,262.47, 13,896.31 and 3,719.71

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Solution

The fourth proportional to 9,262.47, 13,896.31 and 3,719.71 is: 5,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.47 : 13,896.31 = 3,719.71 : x
  2. Step 2: Convert to fraction form
    9,262.47/13,896.31 = 3,719.71/x
  3. Step 3: Cross multiply
    9,262.47x = 13,896.31 × 3,719.71
  4. Step 4: Simplify right side
    9,262.47x = 51,690,166.20
  5. Step 5: Solve for x
    x = 51,690,166.20/9,262.47
  6. Step 6: Final answer
    x = 5,580.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.