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Finding the Fourth Proportional to 6,987.71, 9,639.83 and 6,191.84

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Solution

The fourth proportional to 6,987.71, 9,639.83 and 6,191.84 is: 8,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.71 : 9,639.83 = 6,191.84 : x
  2. Step 2: Convert to fraction form
    6,987.71/9,639.83 = 6,191.84/x
  3. Step 3: Cross multiply
    6,987.71x = 9,639.83 × 6,191.84
  4. Step 4: Simplify right side
    6,987.71x = 59,688,324.57
  5. Step 5: Solve for x
    x = 59,688,324.57/6,987.71
  6. Step 6: Final answer
    x = 8,541.90

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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.