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Finding the Fourth Proportional to 9,301.59, 14,016.32 and 7,694.14

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Solution

The fourth proportional to 9,301.59, 14,016.32 and 7,694.14 is: 11,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.59 : 14,016.32 = 7,694.14 : x
  2. Step 2: Convert to fraction form
    9,301.59/14,016.32 = 7,694.14/x
  3. Step 3: Cross multiply
    9,301.59x = 14,016.32 × 7,694.14
  4. Step 4: Simplify right side
    9,301.59x = 107,843,528.36
  5. Step 5: Solve for x
    x = 107,843,528.36/9,301.59
  6. Step 6: Final answer
    x = 11,594.10

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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.