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Finding the Fourth Proportional to 28,982.91, 43,470.74 and 9,259.83

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Solution

The fourth proportional to 28,982.91, 43,470.74 and 9,259.83 is: 13,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,982.91 : 43,470.74 = 9,259.83 : x
  2. Step 2: Convert to fraction form
    28,982.91/43,470.74 = 9,259.83/x
  3. Step 3: Cross multiply
    28,982.91x = 43,470.74 × 9,259.83
  4. Step 4: Simplify right side
    28,982.91x = 402,531,616.08
  5. Step 5: Solve for x
    x = 402,531,616.08/28,982.91
  6. Step 6: Final answer
    x = 13,888.59

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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.