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Finding the Fourth Proportional to 8,660.96, 12,980.16 and 6,296.96

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Solution

The fourth proportional to 8,660.96, 12,980.16 and 6,296.96 is: 9,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,660.96 : 12,980.16 = 6,296.96 : x
  2. Step 2: Convert to fraction form
    8,660.96/12,980.16 = 6,296.96/x
  3. Step 3: Cross multiply
    8,660.96x = 12,980.16 × 6,296.96
  4. Step 4: Simplify right side
    8,660.96x = 81,735,548.31
  5. Step 5: Solve for x
    x = 81,735,548.31/8,660.96
  6. Step 6: Final answer
    x = 9,437.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.