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Finding the Fourth Proportional to 6,956.38, 9,597.36 and 3,970.06

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Solution

The fourth proportional to 6,956.38, 9,597.36 and 3,970.06 is: 5,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.38 : 9,597.36 = 3,970.06 : x
  2. Step 2: Convert to fraction form
    6,956.38/9,597.36 = 3,970.06/x
  3. Step 3: Cross multiply
    6,956.38x = 9,597.36 × 3,970.06
  4. Step 4: Simplify right side
    6,956.38x = 38,102,095.04
  5. Step 5: Solve for x
    x = 38,102,095.04/6,956.38
  6. Step 6: Final answer
    x = 5,477.29

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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.