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Finding the Fourth Proportional to 6,948.45, 9,588.92 and 3,964.41

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Solution

The fourth proportional to 6,948.45, 9,588.92 and 3,964.41 is: 5,470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.45 : 9,588.92 = 3,964.41 : x
  2. Step 2: Convert to fraction form
    6,948.45/9,588.92 = 3,964.41/x
  3. Step 3: Cross multiply
    6,948.45x = 9,588.92 × 3,964.41
  4. Step 4: Simplify right side
    6,948.45x = 38,014,390.52
  5. Step 5: Solve for x
    x = 38,014,390.52/6,948.45
  6. Step 6: Final answer
    x = 5,470.92

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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.