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Finding the Fourth Proportional to 6,338.16, 9,510.12 and 3,262.32

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Solution

The fourth proportional to 6,338.16, 9,510.12 and 3,262.32 is: 4,894.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.16 : 9,510.12 = 3,262.32 : x
  2. Step 2: Convert to fraction form
    6,338.16/9,510.12 = 3,262.32/x
  3. Step 3: Cross multiply
    6,338.16x = 9,510.12 × 3,262.32
  4. Step 4: Simplify right side
    6,338.16x = 31,025,054.68
  5. Step 5: Solve for x
    x = 31,025,054.68/6,338.16
  6. Step 6: Final answer
    x = 4,894.96

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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.