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Finding the Fourth Proportional to 9,977.77, 13,769.08 and 5,785.75

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Solution

The fourth proportional to 9,977.77, 13,769.08 and 5,785.75 is: 7,984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.77 : 13,769.08 = 5,785.75 : x
  2. Step 2: Convert to fraction form
    9,977.77/13,769.08 = 5,785.75/x
  3. Step 3: Cross multiply
    9,977.77x = 13,769.08 × 5,785.75
  4. Step 4: Simplify right side
    9,977.77x = 79,664,454.61
  5. Step 5: Solve for x
    x = 79,664,454.61/9,977.77
  6. Step 6: Final answer
    x = 7,984.19

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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.