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Finding the Fourth Proportional to 7,119.30, 9,824.44 and 3,932.66

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Solution

The fourth proportional to 7,119.30, 9,824.44 and 3,932.66 is: 5,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.30 : 9,824.44 = 3,932.66 : x
  2. Step 2: Convert to fraction form
    7,119.30/9,824.44 = 3,932.66/x
  3. Step 3: Cross multiply
    7,119.30x = 9,824.44 × 3,932.66
  4. Step 4: Simplify right side
    7,119.30x = 38,636,182.21
  5. Step 5: Solve for x
    x = 38,636,182.21/7,119.30
  6. Step 6: Final answer
    x = 5,426.96

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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.