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Finding the Fourth Proportional to 9,778.20, 13,494.03 and 5,301.99

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Solution

The fourth proportional to 9,778.20, 13,494.03 and 5,301.99 is: 7,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.20 : 13,494.03 = 5,301.99 : x
  2. Step 2: Convert to fraction form
    9,778.20/13,494.03 = 5,301.99/x
  3. Step 3: Cross multiply
    9,778.20x = 13,494.03 × 5,301.99
  4. Step 4: Simplify right side
    9,778.20x = 71,545,212.12
  5. Step 5: Solve for x
    x = 71,545,212.12/9,778.20
  6. Step 6: Final answer
    x = 7,316.81

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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.