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Finding the Fourth Proportional to 6,600.80, 9,866.08 and 4,656.80

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Solution

The fourth proportional to 6,600.80, 9,866.08 and 4,656.80 is: 6,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,600.80 : 9,866.08 = 4,656.80 : x
  2. Step 2: Convert to fraction form
    6,600.80/9,866.08 = 4,656.80/x
  3. Step 3: Cross multiply
    6,600.80x = 9,866.08 × 4,656.80
  4. Step 4: Simplify right side
    6,600.80x = 45,944,361.34
  5. Step 5: Solve for x
    x = 45,944,361.34/6,600.80
  6. Step 6: Final answer
    x = 6,960.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.