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Finding the Fourth Proportional to 10,277.44, 15,423.42 and 9,286

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Solution

The fourth proportional to 10,277.44, 15,423.42 and 9,286 is: 13,935.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.44 : 15,423.42 = 9,286 : x
  2. Step 2: Convert to fraction form
    10,277.44/15,423.42 = 9,286/x
  3. Step 3: Cross multiply
    10,277.44x = 15,423.42 × 9,286
  4. Step 4: Simplify right side
    10,277.44x = 143,221,878.12
  5. Step 5: Solve for x
    x = 143,221,878.12/10,277.44
  6. Step 6: Final answer
    x = 13,935.56

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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.