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Finding the Fourth Proportional to 6,248.14, 9,377.67 and 3,477.94

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Solution

The fourth proportional to 6,248.14, 9,377.67 and 3,477.94 is: 5,219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,248.14 : 9,377.67 = 3,477.94 : x
  2. Step 2: Convert to fraction form
    6,248.14/9,377.67 = 3,477.94/x
  3. Step 3: Cross multiply
    6,248.14x = 9,377.67 × 3,477.94
  4. Step 4: Simplify right side
    6,248.14x = 32,614,973.60
  5. Step 5: Solve for x
    x = 32,614,973.60/6,248.14
  6. Step 6: Final answer
    x = 5,219.95

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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.