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Finding the Fourth Proportional to 7,085.98, 9,778.21 and 3,942.19

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Solution

The fourth proportional to 7,085.98, 9,778.21 and 3,942.19 is: 5,439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.98 : 9,778.21 = 3,942.19 : x
  2. Step 2: Convert to fraction form
    7,085.98/9,778.21 = 3,942.19/x
  3. Step 3: Cross multiply
    7,085.98x = 9,778.21 × 3,942.19
  4. Step 4: Simplify right side
    7,085.98x = 38,547,561.68
  5. Step 5: Solve for x
    x = 38,547,561.68/7,085.98
  6. Step 6: Final answer
    x = 5,439.98

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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.