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Finding the Fourth Proportional to 9,140.69, 13,711.03 and 3,297.30

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Solution

The fourth proportional to 9,140.69, 13,711.03 and 3,297.30 is: 4,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.69 : 13,711.03 = 3,297.30 : x
  2. Step 2: Convert to fraction form
    9,140.69/13,711.03 = 3,297.30/x
  3. Step 3: Cross multiply
    9,140.69x = 13,711.03 × 3,297.30
  4. Step 4: Simplify right side
    9,140.69x = 45,209,338.11
  5. Step 5: Solve for x
    x = 45,209,338.11/9,140.69
  6. Step 6: Final answer
    x = 4,945.95

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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.