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Finding the Fourth Proportional to 7,086.04, 9,778.48 and 3,942.16

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Solution

The fourth proportional to 7,086.04, 9,778.48 and 3,942.16 is: 5,440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.04 : 9,778.48 = 3,942.16 : x
  2. Step 2: Convert to fraction form
    7,086.04/9,778.48 = 3,942.16/x
  3. Step 3: Cross multiply
    7,086.04x = 9,778.48 × 3,942.16
  4. Step 4: Simplify right side
    7,086.04x = 38,548,332.72
  5. Step 5: Solve for x
    x = 38,548,332.72/7,086.04
  6. Step 6: Final answer
    x = 5,440.04

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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.