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Finding the Fourth Proportional to 6,954.24, 9,596.16 and 3,970.56

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Solution

The fourth proportional to 6,954.24, 9,596.16 and 3,970.56 is: 5,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.24 : 9,596.16 = 3,970.56 : x
  2. Step 2: Convert to fraction form
    6,954.24/9,596.16 = 3,970.56/x
  3. Step 3: Cross multiply
    6,954.24x = 9,596.16 × 3,970.56
  4. Step 4: Simplify right side
    6,954.24x = 38,102,129.05
  5. Step 5: Solve for x
    x = 38,102,129.05/6,954.24
  6. Step 6: Final answer
    x = 5,478.98

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