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Finding the Fourth Proportional to 6,406.47, 9,610.07 and 2,708.19

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Solution

The fourth proportional to 6,406.47, 9,610.07 and 2,708.19 is: 4,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.47 : 9,610.07 = 2,708.19 : x
  2. Step 2: Convert to fraction form
    6,406.47/9,610.07 = 2,708.19/x
  3. Step 3: Cross multiply
    6,406.47x = 9,610.07 × 2,708.19
  4. Step 4: Simplify right side
    6,406.47x = 26,025,881.93
  5. Step 5: Solve for x
    x = 26,025,881.93/6,406.47
  6. Step 6: Final answer
    x = 4,062.44

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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.