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Finding the Fourth Proportional to 9,377.72, 12,942.83 and 5,398.10

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Solution

The fourth proportional to 9,377.72, 12,942.83 and 5,398.10 is: 7,450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.72 : 12,942.83 = 5,398.10 : x
  2. Step 2: Convert to fraction form
    9,377.72/12,942.83 = 5,398.10/x
  3. Step 3: Cross multiply
    9,377.72x = 12,942.83 × 5,398.10
  4. Step 4: Simplify right side
    9,377.72x = 69,866,598.92
  5. Step 5: Solve for x
    x = 69,866,598.92/9,377.72
  6. Step 6: Final answer
    x = 7,450.28

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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.