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Finding the Fourth Proportional to 9,686.97, 13,367.73 and 5,437.92

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Solution

The fourth proportional to 9,686.97, 13,367.73 and 5,437.92 is: 7,504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.97 : 13,367.73 = 5,437.92 : x
  2. Step 2: Convert to fraction form
    9,686.97/13,367.73 = 5,437.92/x
  3. Step 3: Cross multiply
    9,686.97x = 13,367.73 × 5,437.92
  4. Step 4: Simplify right side
    9,686.97x = 72,692,646.32
  5. Step 5: Solve for x
    x = 72,692,646.32/9,686.97
  6. Step 6: Final answer
    x = 7,504.17

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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.