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Finding the Fourth Proportional to 9,987.44, 13,787.65 and 6,211.82

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Solution

The fourth proportional to 9,987.44, 13,787.65 and 6,211.82 is: 8,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.44 : 13,787.65 = 6,211.82 : x
  2. Step 2: Convert to fraction form
    9,987.44/13,787.65 = 6,211.82/x
  3. Step 3: Cross multiply
    9,987.44x = 13,787.65 × 6,211.82
  4. Step 4: Simplify right side
    9,987.44x = 85,646,329.76
  5. Step 5: Solve for x
    x = 85,646,329.76/9,987.44
  6. Step 6: Final answer
    x = 8,575.41

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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.