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Finding the Fourth Proportional to 8,977.64, 12,383.69 and 7,086.29

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Solution

The fourth proportional to 8,977.64, 12,383.69 and 7,086.29 is: 9,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.64 : 12,383.69 = 7,086.29 : x
  2. Step 2: Convert to fraction form
    8,977.64/12,383.69 = 7,086.29/x
  3. Step 3: Cross multiply
    8,977.64x = 12,383.69 × 7,086.29
  4. Step 4: Simplify right side
    8,977.64x = 87,754,321.26
  5. Step 5: Solve for x
    x = 87,754,321.26/8,977.64
  6. Step 6: Final answer
    x = 9,774.77

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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.