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Finding the Fourth Proportional to 9,778.24, 13,494.14 and 5,586.52

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Solution

The fourth proportional to 9,778.24, 13,494.14 and 5,586.52 is: 7,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.24 : 13,494.14 = 5,586.52 : x
  2. Step 2: Convert to fraction form
    9,778.24/13,494.14 = 5,586.52/x
  3. Step 3: Cross multiply
    9,778.24x = 13,494.14 × 5,586.52
  4. Step 4: Simplify right side
    9,778.24x = 75,385,282.99
  5. Step 5: Solve for x
    x = 75,385,282.99/9,778.24
  6. Step 6: Final answer
    x = 7,709.49

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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.