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Finding the Fourth Proportional to 9,287.26, 13,930.89 and 4,017.95

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Solution

The fourth proportional to 9,287.26, 13,930.89 and 4,017.95 is: 6,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.26 : 13,930.89 = 4,017.95 : x
  2. Step 2: Convert to fraction form
    9,287.26/13,930.89 = 4,017.95/x
  3. Step 3: Cross multiply
    9,287.26x = 13,930.89 × 4,017.95
  4. Step 4: Simplify right side
    9,287.26x = 55,973,665.36
  5. Step 5: Solve for x
    x = 55,973,665.36/9,287.26
  6. Step 6: Final answer
    x = 6,026.93

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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.