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Finding the Fourth Proportional to 6,587.49, 9,881.31 and 2,204.96

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Solution

The fourth proportional to 6,587.49, 9,881.31 and 2,204.96 is: 3,307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.49 : 9,881.31 = 2,204.96 : x
  2. Step 2: Convert to fraction form
    6,587.49/9,881.31 = 2,204.96/x
  3. Step 3: Cross multiply
    6,587.49x = 9,881.31 × 2,204.96
  4. Step 4: Simplify right side
    6,587.49x = 21,787,843.89
  5. Step 5: Solve for x
    x = 21,787,843.89/6,587.49
  6. Step 6: Final answer
    x = 3,307.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.