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Finding the Fourth Proportional to 9,398.88, 14,100.66 and 2,825.19

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Solution

The fourth proportional to 9,398.88, 14,100.66 and 2,825.19 is: 4,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.88 : 14,100.66 = 2,825.19 : x
  2. Step 2: Convert to fraction form
    9,398.88/14,100.66 = 2,825.19/x
  3. Step 3: Cross multiply
    9,398.88x = 14,100.66 × 2,825.19
  4. Step 4: Simplify right side
    9,398.88x = 39,837,043.63
  5. Step 5: Solve for x
    x = 39,837,043.63/9,398.88
  6. Step 6: Final answer
    x = 4,238.49

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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.