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Finding the Fourth Proportional to 9,081, 12,531.78 and 5,774.76

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Solution

The fourth proportional to 9,081, 12,531.78 and 5,774.76 is: 7,969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,081 : 12,531.78 = 5,774.76 : x
  2. Step 2: Convert to fraction form
    9,081/12,531.78 = 5,774.76/x
  3. Step 3: Cross multiply
    9,081x = 12,531.78 × 5,774.76
  4. Step 4: Simplify right side
    9,081x = 72,368,021.87
  5. Step 5: Solve for x
    x = 72,368,021.87/9,081
  6. Step 6: Final answer
    x = 7,969.17

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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.