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Finding the Fourth Proportional to 9,986.68, 13,782.18 and 5,511.40

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Solution

The fourth proportional to 9,986.68, 13,782.18 and 5,511.40 is: 7,606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.68 : 13,782.18 = 5,511.40 : x
  2. Step 2: Convert to fraction form
    9,986.68/13,782.18 = 5,511.40/x
  3. Step 3: Cross multiply
    9,986.68x = 13,782.18 × 5,511.40
  4. Step 4: Simplify right side
    9,986.68x = 75,959,106.85
  5. Step 5: Solve for x
    x = 75,959,106.85/9,986.68
  6. Step 6: Final answer
    x = 7,606.04

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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.