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Finding the Fourth Proportional to 9,873, 14,810.22 and 3,299.04

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Solution

The fourth proportional to 9,873, 14,810.22 and 3,299.04 is: 4,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873 : 14,810.22 = 3,299.04 : x
  2. Step 2: Convert to fraction form
    9,873/14,810.22 = 3,299.04/x
  3. Step 3: Cross multiply
    9,873x = 14,810.22 × 3,299.04
  4. Step 4: Simplify right side
    9,873x = 48,859,508.19
  5. Step 5: Solve for x
    x = 48,859,508.19/9,873
  6. Step 6: Final answer
    x = 4,948.80

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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.