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Finding the Fourth Proportional to 9,886.92, 14,821.24 and 3,643.48

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Solution

The fourth proportional to 9,886.92, 14,821.24 and 3,643.48 is: 5,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.92 : 14,821.24 = 3,643.48 : x
  2. Step 2: Convert to fraction form
    9,886.92/14,821.24 = 3,643.48/x
  3. Step 3: Cross multiply
    9,886.92x = 14,821.24 × 3,643.48
  4. Step 4: Simplify right side
    9,886.92x = 54,000,891.52
  5. Step 5: Solve for x
    x = 54,000,891.52/9,886.92
  6. Step 6: Final answer
    x = 5,461.85

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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.