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Finding the Fourth Proportional to 7,143.12, 9,857.28 and 3,956.52

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Solution

The fourth proportional to 7,143.12, 9,857.28 and 3,956.52 is: 5,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.12 : 9,857.28 = 3,956.52 : x
  2. Step 2: Convert to fraction form
    7,143.12/9,857.28 = 3,956.52/x
  3. Step 3: Cross multiply
    7,143.12x = 9,857.28 × 3,956.52
  4. Step 4: Simplify right side
    7,143.12x = 39,000,525.47
  5. Step 5: Solve for x
    x = 39,000,525.47/7,143.12
  6. Step 6: Final answer
    x = 5,459.87

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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.