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Finding the Fourth Proportional to 6,403.62, 9,606.78 and 2,708.13

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Solution

The fourth proportional to 6,403.62, 9,606.78 and 2,708.13 is: 4,062.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.62 : 9,606.78 = 2,708.13 : x
  2. Step 2: Convert to fraction form
    6,403.62/9,606.78 = 2,708.13/x
  3. Step 3: Cross multiply
    6,403.62x = 9,606.78 × 2,708.13
  4. Step 4: Simplify right side
    6,403.62x = 26,016,409.12
  5. Step 5: Solve for x
    x = 26,016,409.12/6,403.62
  6. Step 6: Final answer
    x = 4,062.77

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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.