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Finding the Fourth Proportional to 6,953.41, 9,596.40 and 3,969.70

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Solution

The fourth proportional to 6,953.41, 9,596.40 and 3,969.70 is: 5,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.41 : 9,596.40 = 3,969.70 : x
  2. Step 2: Convert to fraction form
    6,953.41/9,596.40 = 3,969.70/x
  3. Step 3: Cross multiply
    6,953.41x = 9,596.40 × 3,969.70
  4. Step 4: Simplify right side
    6,953.41x = 38,094,829.08
  5. Step 5: Solve for x
    x = 38,094,829.08/6,953.41
  6. Step 6: Final answer
    x = 5,478.58

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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.