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Finding the Fourth Proportional to 9,377.70, 12,942.45 and 5,398.98

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Solution

The fourth proportional to 9,377.70, 12,942.45 and 5,398.98 is: 7,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.70 : 12,942.45 = 5,398.98 : x
  2. Step 2: Convert to fraction form
    9,377.70/12,942.45 = 5,398.98/x
  3. Step 3: Cross multiply
    9,377.70x = 12,942.45 × 5,398.98
  4. Step 4: Simplify right side
    9,377.70x = 69,876,028.70
  5. Step 5: Solve for x
    x = 69,876,028.70/9,377.70
  6. Step 6: Final answer
    x = 7,451.30

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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.