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Finding the Fourth Proportional to 6,234.77, 8,607.52 and 4,971.78

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Solution

The fourth proportional to 6,234.77, 8,607.52 and 4,971.78 is: 6,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.77 : 8,607.52 = 4,971.78 : x
  2. Step 2: Convert to fraction form
    6,234.77/8,607.52 = 4,971.78/x
  3. Step 3: Cross multiply
    6,234.77x = 8,607.52 × 4,971.78
  4. Step 4: Simplify right side
    6,234.77x = 42,794,674.03
  5. Step 5: Solve for x
    x = 42,794,674.03/6,234.77
  6. Step 6: Final answer
    x = 6,863.87

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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.