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Finding the Fourth Proportional to 7,119.12, 9,829 and 6,371.78

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Solution

The fourth proportional to 7,119.12, 9,829 and 6,371.78 is: 8,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.12 : 9,829 = 6,371.78 : x
  2. Step 2: Convert to fraction form
    7,119.12/9,829 = 6,371.78/x
  3. Step 3: Cross multiply
    7,119.12x = 9,829 × 6,371.78
  4. Step 4: Simplify right side
    7,119.12x = 62,628,225.62
  5. Step 5: Solve for x
    x = 62,628,225.62/7,119.12
  6. Step 6: Final answer
    x = 8,797.19

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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.