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Finding the Fourth Proportional to 9,776.82, 13,493.74 and 5,799.32

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Solution

The fourth proportional to 9,776.82, 13,493.74 and 5,799.32 is: 8,004.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.82 : 13,493.74 = 5,799.32 : x
  2. Step 2: Convert to fraction form
    9,776.82/13,493.74 = 5,799.32/x
  3. Step 3: Cross multiply
    9,776.82x = 13,493.74 × 5,799.32
  4. Step 4: Simplify right side
    9,776.82x = 78,254,448.79
  5. Step 5: Solve for x
    x = 78,254,448.79/9,776.82
  6. Step 6: Final answer
    x = 8,004.08

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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.