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Finding the Fourth Proportional to 9,767.26, 13,478.86 and 5,291.06

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Solution

The fourth proportional to 9,767.26, 13,478.86 and 5,291.06 is: 7,301.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.26 : 13,478.86 = 5,291.06 : x
  2. Step 2: Convert to fraction form
    9,767.26/13,478.86 = 5,291.06/x
  3. Step 3: Cross multiply
    9,767.26x = 13,478.86 × 5,291.06
  4. Step 4: Simplify right side
    9,767.26x = 71,317,456.99
  5. Step 5: Solve for x
    x = 71,317,456.99/9,767.26
  6. Step 6: Final answer
    x = 7,301.69

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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.