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Finding the Fourth Proportional to 6,238.68, 9,356.16 and 5,140.32

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Solution

The fourth proportional to 6,238.68, 9,356.16 and 5,140.32 is: 7,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.68 : 9,356.16 = 5,140.32 : x
  2. Step 2: Convert to fraction form
    6,238.68/9,356.16 = 5,140.32/x
  3. Step 3: Cross multiply
    6,238.68x = 9,356.16 × 5,140.32
  4. Step 4: Simplify right side
    6,238.68x = 48,093,656.37
  5. Step 5: Solve for x
    x = 48,093,656.37/6,238.68
  6. Step 6: Final answer
    x = 7,708.95

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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.