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Finding the Fourth Proportional to 6,866.35, 9,466.39 and 5,454.72

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Solution

The fourth proportional to 6,866.35, 9,466.39 and 5,454.72 is: 7,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.35 : 9,466.39 = 5,454.72 : x
  2. Step 2: Convert to fraction form
    6,866.35/9,466.39 = 5,454.72/x
  3. Step 3: Cross multiply
    6,866.35x = 9,466.39 × 5,454.72
  4. Step 4: Simplify right side
    6,866.35x = 51,636,493.22
  5. Step 5: Solve for x
    x = 51,636,493.22/6,866.35
  6. Step 6: Final answer
    x = 7,520.23

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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.