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Finding the Fourth Proportional to 10,396.27, 14,344.41 and 6,417.55

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Solution

The fourth proportional to 10,396.27, 14,344.41 and 6,417.55 is: 8,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.27 : 14,344.41 = 6,417.55 : x
  2. Step 2: Convert to fraction form
    10,396.27/14,344.41 = 6,417.55/x
  3. Step 3: Cross multiply
    10,396.27x = 14,344.41 × 6,417.55
  4. Step 4: Simplify right side
    10,396.27x = 92,055,968.40
  5. Step 5: Solve for x
    x = 92,055,968.40/10,396.27
  6. Step 6: Final answer
    x = 8,854.71

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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.