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Finding the Fourth Proportional to 9,842.50, 14,766.18 and 2,917

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Solution

The fourth proportional to 9,842.50, 14,766.18 and 2,917 is: 4,376.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.50 : 14,766.18 = 2,917 : x
  2. Step 2: Convert to fraction form
    9,842.50/14,766.18 = 2,917/x
  3. Step 3: Cross multiply
    9,842.50x = 14,766.18 × 2,917
  4. Step 4: Simplify right side
    9,842.50x = 43,072,947.06
  5. Step 5: Solve for x
    x = 43,072,947.06/9,842.50
  6. Step 6: Final answer
    x = 4,376.22

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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.