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Finding the Fourth Proportional to 6,868.35, 9,477.42 and 4,477.23

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Solution

The fourth proportional to 6,868.35, 9,477.42 and 4,477.23 is: 6,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.35 : 9,477.42 = 4,477.23 : x
  2. Step 2: Convert to fraction form
    6,868.35/9,477.42 = 4,477.23/x
  3. Step 3: Cross multiply
    6,868.35x = 9,477.42 × 4,477.23
  4. Step 4: Simplify right side
    6,868.35x = 42,432,589.15
  5. Step 5: Solve for x
    x = 42,432,589.15/6,868.35
  6. Step 6: Final answer
    x = 6,177.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.