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Finding the Fourth Proportional to 6,954.19, 9,596.78 and 4,159.69

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Solution

The fourth proportional to 6,954.19, 9,596.78 and 4,159.69 is: 5,740.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.19 : 9,596.78 = 4,159.69 : x
  2. Step 2: Convert to fraction form
    6,954.19/9,596.78 = 4,159.69/x
  3. Step 3: Cross multiply
    6,954.19x = 9,596.78 × 4,159.69
  4. Step 4: Simplify right side
    6,954.19x = 39,919,600.61
  5. Step 5: Solve for x
    x = 39,919,600.61/6,954.19
  6. Step 6: Final answer
    x = 5,740.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.