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Finding the Fourth Proportional to 9,965.36, 13,777.08 and 7,477.04

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Solution

The fourth proportional to 9,965.36, 13,777.08 and 7,477.04 is: 10,336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.36 : 13,777.08 = 7,477.04 : x
  2. Step 2: Convert to fraction form
    9,965.36/13,777.08 = 7,477.04/x
  3. Step 3: Cross multiply
    9,965.36x = 13,777.08 × 7,477.04
  4. Step 4: Simplify right side
    9,965.36x = 103,011,778.24
  5. Step 5: Solve for x
    x = 103,011,778.24/9,965.36
  6. Step 6: Final answer
    x = 10,336.99

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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.