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Finding the Fourth Proportional to 9,140.53, 13,710.80 and 3,297.14

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Solution

The fourth proportional to 9,140.53, 13,710.80 and 3,297.14 is: 4,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.53 : 13,710.80 = 3,297.14 : x
  2. Step 2: Convert to fraction form
    9,140.53/13,710.80 = 3,297.14/x
  3. Step 3: Cross multiply
    9,140.53x = 13,710.80 × 3,297.14
  4. Step 4: Simplify right side
    9,140.53x = 45,206,427.11
  5. Step 5: Solve for x
    x = 45,206,427.11/9,140.53
  6. Step 6: Final answer
    x = 4,945.71

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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.