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Finding the Fourth Proportional to 6,318.92, 9,466.23 and 3,537.17

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Solution

The fourth proportional to 6,318.92, 9,466.23 and 3,537.17 is: 5,298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.92 : 9,466.23 = 3,537.17 : x
  2. Step 2: Convert to fraction form
    6,318.92/9,466.23 = 3,537.17/x
  3. Step 3: Cross multiply
    6,318.92x = 9,466.23 × 3,537.17
  4. Step 4: Simplify right side
    6,318.92x = 33,483,664.77
  5. Step 5: Solve for x
    x = 33,483,664.77/6,318.92
  6. Step 6: Final answer
    x = 5,298.95

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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.