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Finding the Fourth Proportional to 9,111.89, 12,577.32 and 5,919.57

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Solution

The fourth proportional to 9,111.89, 12,577.32 and 5,919.57 is: 8,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.89 : 12,577.32 = 5,919.57 : x
  2. Step 2: Convert to fraction form
    9,111.89/12,577.32 = 5,919.57/x
  3. Step 3: Cross multiply
    9,111.89x = 12,577.32 × 5,919.57
  4. Step 4: Simplify right side
    9,111.89x = 74,452,326.15
  5. Step 5: Solve for x
    x = 74,452,326.15/9,111.89
  6. Step 6: Final answer
    x = 8,170.90

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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.