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Finding the Fourth Proportional to 9,686.80, 13,367.38 and 5,495.84

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Solution

The fourth proportional to 9,686.80, 13,367.38 and 5,495.84 is: 7,584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.80 : 13,367.38 = 5,495.84 : x
  2. Step 2: Convert to fraction form
    9,686.80/13,367.38 = 5,495.84/x
  3. Step 3: Cross multiply
    9,686.80x = 13,367.38 × 5,495.84
  4. Step 4: Simplify right side
    9,686.80x = 73,464,981.70
  5. Step 5: Solve for x
    x = 73,464,981.70/9,686.80
  6. Step 6: Final answer
    x = 7,584.03

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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.