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Finding the Fourth Proportional to 9,118.32, 13,672.01 and 4,181.77

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Solution

The fourth proportional to 9,118.32, 13,672.01 and 4,181.77 is: 6,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.32 : 13,672.01 = 4,181.77 : x
  2. Step 2: Convert to fraction form
    9,118.32/13,672.01 = 4,181.77/x
  3. Step 3: Cross multiply
    9,118.32x = 13,672.01 × 4,181.77
  4. Step 4: Simplify right side
    9,118.32x = 57,173,197.44
  5. Step 5: Solve for x
    x = 57,173,197.44/9,118.32
  6. Step 6: Final answer
    x = 6,270.15

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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.