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Finding the Fourth Proportional to 9,494.91, 13,090.80 and 7,787.16

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Solution

The fourth proportional to 9,494.91, 13,090.80 and 7,787.16 is: 10,736.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.91 : 13,090.80 = 7,787.16 : x
  2. Step 2: Convert to fraction form
    9,494.91/13,090.80 = 7,787.16/x
  3. Step 3: Cross multiply
    9,494.91x = 13,090.80 × 7,787.16
  4. Step 4: Simplify right side
    9,494.91x = 101,940,154.13
  5. Step 5: Solve for x
    x = 101,940,154.13/9,494.91
  6. Step 6: Final answer
    x = 10,736.29

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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.