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Finding the Fourth Proportional to 9,984.90, 13,783.59 and 6,449.85

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Solution

The fourth proportional to 9,984.90, 13,783.59 and 6,449.85 is: 8,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.90 : 13,783.59 = 6,449.85 : x
  2. Step 2: Convert to fraction form
    9,984.90/13,783.59 = 6,449.85/x
  3. Step 3: Cross multiply
    9,984.90x = 13,783.59 × 6,449.85
  4. Step 4: Simplify right side
    9,984.90x = 88,902,087.96
  5. Step 5: Solve for x
    x = 88,902,087.96/9,984.90
  6. Step 6: Final answer
    x = 8,903.65

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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.