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Finding the Fourth Proportional to 9,238.95, 13,860.45 and 5,286.15

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Solution

The fourth proportional to 9,238.95, 13,860.45 and 5,286.15 is: 7,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.95 : 13,860.45 = 5,286.15 : x
  2. Step 2: Convert to fraction form
    9,238.95/13,860.45 = 5,286.15/x
  3. Step 3: Cross multiply
    9,238.95x = 13,860.45 × 5,286.15
  4. Step 4: Simplify right side
    9,238.95x = 73,268,417.77
  5. Step 5: Solve for x
    x = 73,268,417.77/9,238.95
  6. Step 6: Final answer
    x = 7,930.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.