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Finding the Fourth Proportional to 9,478.74, 13,081.32 and 5,286.99

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Solution

The fourth proportional to 9,478.74, 13,081.32 and 5,286.99 is: 7,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.74 : 13,081.32 = 5,286.99 : x
  2. Step 2: Convert to fraction form
    9,478.74/13,081.32 = 5,286.99/x
  3. Step 3: Cross multiply
    9,478.74x = 13,081.32 × 5,286.99
  4. Step 4: Simplify right side
    9,478.74x = 69,160,808.03
  5. Step 5: Solve for x
    x = 69,160,808.03/9,478.74
  6. Step 6: Final answer
    x = 7,296.41

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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.