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Finding the Fourth Proportional to 9,897.77, 14,842.92 and 3,232.71

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Solution

The fourth proportional to 9,897.77, 14,842.92 and 3,232.71 is: 4,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.77 : 14,842.92 = 3,232.71 : x
  2. Step 2: Convert to fraction form
    9,897.77/14,842.92 = 3,232.71/x
  3. Step 3: Cross multiply
    9,897.77x = 14,842.92 × 3,232.71
  4. Step 4: Simplify right side
    9,897.77x = 47,982,868.04
  5. Step 5: Solve for x
    x = 47,982,868.04/9,897.77
  6. Step 6: Final answer
    x = 4,847.85

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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.