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Finding the Fourth Proportional to 8,646.60, 12,961.78 and 6,535

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Solution

The fourth proportional to 8,646.60, 12,961.78 and 6,535 is: 9,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.60 : 12,961.78 = 6,535 : x
  2. Step 2: Convert to fraction form
    8,646.60/12,961.78 = 6,535/x
  3. Step 3: Cross multiply
    8,646.60x = 12,961.78 × 6,535
  4. Step 4: Simplify right side
    8,646.60x = 84,705,232.30
  5. Step 5: Solve for x
    x = 84,705,232.30/8,646.60
  6. Step 6: Final answer
    x = 9,796.36

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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.