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Finding the Fourth Proportional to 9,377.02, 12,928.17 and 7,777.81

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Solution

The fourth proportional to 9,377.02, 12,928.17 and 7,777.81 is: 10,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.02 : 12,928.17 = 7,777.81 : x
  2. Step 2: Convert to fraction form
    9,377.02/12,928.17 = 7,777.81/x
  3. Step 3: Cross multiply
    9,377.02x = 12,928.17 × 7,777.81
  4. Step 4: Simplify right side
    9,377.02x = 100,552,849.91
  5. Step 5: Solve for x
    x = 100,552,849.91/9,377.02
  6. Step 6: Final answer
    x = 10,723.33

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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.