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Finding the Fourth Proportional to 9,255.97, 12,774.31 and 5,277.66

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Solution

The fourth proportional to 9,255.97, 12,774.31 and 5,277.66 is: 7,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.97 : 12,774.31 = 5,277.66 : x
  2. Step 2: Convert to fraction form
    9,255.97/12,774.31 = 5,277.66/x
  3. Step 3: Cross multiply
    9,255.97x = 12,774.31 × 5,277.66
  4. Step 4: Simplify right side
    9,255.97x = 67,418,403.82
  5. Step 5: Solve for x
    x = 67,418,403.82/9,255.97
  6. Step 6: Final answer
    x = 7,283.77

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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.