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Finding the Fourth Proportional to 6,954.57, 9,596.78 and 3,970.00

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Solution

The fourth proportional to 6,954.57, 9,596.78 and 3,970.00 is: 5,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.57 : 9,596.78 = 3,970.00 : x
  2. Step 2: Convert to fraction form
    6,954.57/9,596.78 = 3,970.00/x
  3. Step 3: Cross multiply
    6,954.57x = 9,596.78 × 3,970.00
  4. Step 4: Simplify right side
    6,954.57x = 38,099,172.76
  5. Step 5: Solve for x
    x = 38,099,172.76/6,954.57
  6. Step 6: Final answer
    x = 5,478.30

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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.