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Finding the Fourth Proportional to 9,984.12, 13,778.02 and 5,507.88

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Solution

The fourth proportional to 9,984.12, 13,778.02 and 5,507.88 is: 7,600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.12 : 13,778.02 = 5,507.88 : x
  2. Step 2: Convert to fraction form
    9,984.12/13,778.02 = 5,507.88/x
  3. Step 3: Cross multiply
    9,984.12x = 13,778.02 × 5,507.88
  4. Step 4: Simplify right side
    9,984.12x = 75,887,680.80
  5. Step 5: Solve for x
    x = 75,887,680.80/9,984.12
  6. Step 6: Final answer
    x = 7,600.84

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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.