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Finding the Fourth Proportional to 7,035.18, 9,711 and 4,052.22

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Solution

The fourth proportional to 7,035.18, 9,711 and 4,052.22 is: 5,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.18 : 9,711 = 4,052.22 : x
  2. Step 2: Convert to fraction form
    7,035.18/9,711 = 4,052.22/x
  3. Step 3: Cross multiply
    7,035.18x = 9,711 × 4,052.22
  4. Step 4: Simplify right side
    7,035.18x = 39,351,108.42
  5. Step 5: Solve for x
    x = 39,351,108.42/7,035.18
  6. Step 6: Final answer
    x = 5,593.48

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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.