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Finding the Fourth Proportional to 9,777.92, 13,494.36 and 5,586.08

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Solution

The fourth proportional to 9,777.92, 13,494.36 and 5,586.08 is: 7,709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.92 : 13,494.36 = 5,586.08 : x
  2. Step 2: Convert to fraction form
    9,777.92/13,494.36 = 5,586.08/x
  3. Step 3: Cross multiply
    9,777.92x = 13,494.36 × 5,586.08
  4. Step 4: Simplify right side
    9,777.92x = 75,380,574.51
  5. Step 5: Solve for x
    x = 75,380,574.51/9,777.92
  6. Step 6: Final answer
    x = 7,709.26

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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.