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Finding the Fourth Proportional to 7,143.99, 9,857.88 and 3,956.91

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Solution

The fourth proportional to 7,143.99, 9,857.88 and 3,956.91 is: 5,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.99 : 9,857.88 = 3,956.91 : x
  2. Step 2: Convert to fraction form
    7,143.99/9,857.88 = 3,956.91/x
  3. Step 3: Cross multiply
    7,143.99x = 9,857.88 × 3,956.91
  4. Step 4: Simplify right side
    7,143.99x = 39,006,743.95
  5. Step 5: Solve for x
    x = 39,006,743.95/7,143.99
  6. Step 6: Final answer
    x = 5,460.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.