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Finding the Fourth Proportional to 28,806.70, 43,214.10 and 9,083.20

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Solution

The fourth proportional to 28,806.70, 43,214.10 and 9,083.20 is: 13,626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,806.70 : 43,214.10 = 9,083.20 : x
  2. Step 2: Convert to fraction form
    28,806.70/43,214.10 = 9,083.20/x
  3. Step 3: Cross multiply
    28,806.70x = 43,214.10 × 9,083.20
  4. Step 4: Simplify right side
    28,806.70x = 392,522,313.12
  5. Step 5: Solve for x
    x = 392,522,313.12/28,806.70
  6. Step 6: Final answer
    x = 13,626.08

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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.