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Finding the Fourth Proportional to 9,778.32, 13,493.97 and 5,301.99

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Solution

The fourth proportional to 9,778.32, 13,493.97 and 5,301.99 is: 7,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.32 : 13,493.97 = 5,301.99 : x
  2. Step 2: Convert to fraction form
    9,778.32/13,493.97 = 5,301.99/x
  3. Step 3: Cross multiply
    9,778.32x = 13,493.97 × 5,301.99
  4. Step 4: Simplify right side
    9,778.32x = 71,544,894.00
  5. Step 5: Solve for x
    x = 71,544,894.00/9,778.32
  6. Step 6: Final answer
    x = 7,316.69

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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.