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Finding the Fourth Proportional to 7,070.91, 9,758.15 and 3,927.09

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Solution

The fourth proportional to 7,070.91, 9,758.15 and 3,927.09 is: 5,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.91 : 9,758.15 = 3,927.09 : x
  2. Step 2: Convert to fraction form
    7,070.91/9,758.15 = 3,927.09/x
  3. Step 3: Cross multiply
    7,070.91x = 9,758.15 × 3,927.09
  4. Step 4: Simplify right side
    7,070.91x = 38,321,187.06
  5. Step 5: Solve for x
    x = 38,321,187.06/7,070.91
  6. Step 6: Final answer
    x = 5,419.56

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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.