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Finding the Fourth Proportional to 9,686.98, 13,367.90 and 5,438.13

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Solution

The fourth proportional to 9,686.98, 13,367.90 and 5,438.13 is: 7,504.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.98 : 13,367.90 = 5,438.13 : x
  2. Step 2: Convert to fraction form
    9,686.98/13,367.90 = 5,438.13/x
  3. Step 3: Cross multiply
    9,686.98x = 13,367.90 × 5,438.13
  4. Step 4: Simplify right side
    9,686.98x = 72,696,378.03
  5. Step 5: Solve for x
    x = 72,696,378.03/9,686.98
  6. Step 6: Final answer
    x = 7,504.55

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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.