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Finding the Fourth Proportional to 9,495.41, 13,091.49 and 7,787.66

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Solution

The fourth proportional to 9,495.41, 13,091.49 and 7,787.66 is: 10,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.41 : 13,091.49 = 7,787.66 : x
  2. Step 2: Convert to fraction form
    9,495.41/13,091.49 = 7,787.66/x
  3. Step 3: Cross multiply
    9,495.41x = 13,091.49 × 7,787.66
  4. Step 4: Simplify right side
    9,495.41x = 101,952,073.01
  5. Step 5: Solve for x
    x = 101,952,073.01/9,495.41
  6. Step 6: Final answer
    x = 10,736.98

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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.