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Finding the Fourth Proportional to 9,188.97, 13,788.02 and 3,642.19

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Solution

The fourth proportional to 9,188.97, 13,788.02 and 3,642.19 is: 5,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.97 : 13,788.02 = 3,642.19 : x
  2. Step 2: Convert to fraction form
    9,188.97/13,788.02 = 3,642.19/x
  3. Step 3: Cross multiply
    9,188.97x = 13,788.02 × 3,642.19
  4. Step 4: Simplify right side
    9,188.97x = 50,218,604.82
  5. Step 5: Solve for x
    x = 50,218,604.82/9,188.97
  6. Step 6: Final answer
    x = 5,465.10

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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.