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Finding the Fourth Proportional to 6,847.76, 9,451.50 and 5,726.78

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Solution

The fourth proportional to 6,847.76, 9,451.50 and 5,726.78 is: 7,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.76 : 9,451.50 = 5,726.78 : x
  2. Step 2: Convert to fraction form
    6,847.76/9,451.50 = 5,726.78/x
  3. Step 3: Cross multiply
    6,847.76x = 9,451.50 × 5,726.78
  4. Step 4: Simplify right side
    6,847.76x = 54,126,661.17
  5. Step 5: Solve for x
    x = 54,126,661.17/6,847.76
  6. Step 6: Final answer
    x = 7,904.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.