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Finding the Fourth Proportional to 7,143.68, 9,857.76 and 4,350.08

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Solution

The fourth proportional to 7,143.68, 9,857.76 and 4,350.08 is: 6,002.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.68 : 9,857.76 = 4,350.08 : x
  2. Step 2: Convert to fraction form
    7,143.68/9,857.76 = 4,350.08/x
  3. Step 3: Cross multiply
    7,143.68x = 9,857.76 × 4,350.08
  4. Step 4: Simplify right side
    7,143.68x = 42,882,044.62
  5. Step 5: Solve for x
    x = 42,882,044.62/7,143.68
  6. Step 6: Final answer
    x = 6,002.79

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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.