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Finding the Fourth Proportional to 9,282.27, 13,925.22 and 8,352.78

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Solution

The fourth proportional to 9,282.27, 13,925.22 and 8,352.78 is: 12,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.27 : 13,925.22 = 8,352.78 : x
  2. Step 2: Convert to fraction form
    9,282.27/13,925.22 = 8,352.78/x
  3. Step 3: Cross multiply
    9,282.27x = 13,925.22 × 8,352.78
  4. Step 4: Simplify right side
    9,282.27x = 116,314,299.11
  5. Step 5: Solve for x
    x = 116,314,299.11/9,282.27
  6. Step 6: Final answer
    x = 12,530.80

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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.