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Finding the Fourth Proportional to 6,956.90, 9,600.91 and 4,125.95

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Solution

The fourth proportional to 6,956.90, 9,600.91 and 4,125.95 is: 5,694.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.90 : 9,600.91 = 4,125.95 : x
  2. Step 2: Convert to fraction form
    6,956.90/9,600.91 = 4,125.95/x
  3. Step 3: Cross multiply
    6,956.90x = 9,600.91 × 4,125.95
  4. Step 4: Simplify right side
    6,956.90x = 39,612,875.51
  5. Step 5: Solve for x
    x = 39,612,875.51/6,956.90
  6. Step 6: Final answer
    x = 5,694.04

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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.