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Finding the Fourth Proportional to 6,339.16, 9,511.62 and 3,263.32

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Solution

The fourth proportional to 6,339.16, 9,511.62 and 3,263.32 is: 4,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.16 : 9,511.62 = 3,263.32 : x
  2. Step 2: Convert to fraction form
    6,339.16/9,511.62 = 3,263.32/x
  3. Step 3: Cross multiply
    6,339.16x = 9,511.62 × 3,263.32
  4. Step 4: Simplify right side
    6,339.16x = 31,039,459.78
  5. Step 5: Solve for x
    x = 31,039,459.78/6,339.16
  6. Step 6: Final answer
    x = 4,896.46

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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.