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Finding the Fourth Proportional to 9,042.50, 13,563.99 and 2,886.50

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Solution

The fourth proportional to 9,042.50, 13,563.99 and 2,886.50 is: 4,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.50 : 13,563.99 = 2,886.50 : x
  2. Step 2: Convert to fraction form
    9,042.50/13,563.99 = 2,886.50/x
  3. Step 3: Cross multiply
    9,042.50x = 13,563.99 × 2,886.50
  4. Step 4: Simplify right side
    9,042.50x = 39,152,457.14
  5. Step 5: Solve for x
    x = 39,152,457.14/9,042.50
  6. Step 6: Final answer
    x = 4,329.83

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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.