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Finding the Fourth Proportional to 6,202.47, 9,305.52 and 2,502.81

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Solution

The fourth proportional to 6,202.47, 9,305.52 and 2,502.81 is: 3,754.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.47 : 9,305.52 = 2,502.81 : x
  2. Step 2: Convert to fraction form
    6,202.47/9,305.52 = 2,502.81/x
  3. Step 3: Cross multiply
    6,202.47x = 9,305.52 × 2,502.81
  4. Step 4: Simplify right side
    6,202.47x = 23,289,948.51
  5. Step 5: Solve for x
    x = 23,289,948.51/6,202.47
  6. Step 6: Final answer
    x = 3,754.95

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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.