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Finding the Fourth Proportional to 6,472.86, 9,707.67 and 2,776.02

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Solution

The fourth proportional to 6,472.86, 9,707.67 and 2,776.02 is: 4,163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.86 : 9,707.67 = 2,776.02 : x
  2. Step 2: Convert to fraction form
    6,472.86/9,707.67 = 2,776.02/x
  3. Step 3: Cross multiply
    6,472.86x = 9,707.67 × 2,776.02
  4. Step 4: Simplify right side
    6,472.86x = 26,948,686.07
  5. Step 5: Solve for x
    x = 26,948,686.07/6,472.86
  6. Step 6: Final answer
    x = 4,163.34

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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.