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Finding the Fourth Proportional to 9,087.76, 12,544.32 and 6,101.92

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Solution

The fourth proportional to 9,087.76, 12,544.32 and 6,101.92 is: 8,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087.76 : 12,544.32 = 6,101.92 : x
  2. Step 2: Convert to fraction form
    9,087.76/12,544.32 = 6,101.92/x
  3. Step 3: Cross multiply
    9,087.76x = 12,544.32 × 6,101.92
  4. Step 4: Simplify right side
    9,087.76x = 76,544,437.09
  5. Step 5: Solve for x
    x = 76,544,437.09/9,087.76
  6. Step 6: Final answer
    x = 8,422.81

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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.