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Finding the Fourth Proportional to 9,047.97, 13,633.59 and 7,440.53

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Solution

The fourth proportional to 9,047.97, 13,633.59 and 7,440.53 is: 11,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.97 : 13,633.59 = 7,440.53 : x
  2. Step 2: Convert to fraction form
    9,047.97/13,633.59 = 7,440.53/x
  3. Step 3: Cross multiply
    9,047.97x = 13,633.59 × 7,440.53
  4. Step 4: Simplify right side
    9,047.97x = 101,441,067.23
  5. Step 5: Solve for x
    x = 101,441,067.23/9,047.97
  6. Step 6: Final answer
    x = 11,211.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.