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Finding the Fourth Proportional to 6,341.76, 8,754.03 and 5,677.42

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Solution

The fourth proportional to 6,341.76, 8,754.03 and 5,677.42 is: 7,836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.76 : 8,754.03 = 5,677.42 : x
  2. Step 2: Convert to fraction form
    6,341.76/8,754.03 = 5,677.42/x
  3. Step 3: Cross multiply
    6,341.76x = 8,754.03 × 5,677.42
  4. Step 4: Simplify right side
    6,341.76x = 49,700,305.00
  5. Step 5: Solve for x
    x = 49,700,305.00/6,341.76
  6. Step 6: Final answer
    x = 7,836.99

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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.