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Finding the Fourth Proportional to 6,357.94, 8,777.04 and 4,234.70

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Solution

The fourth proportional to 6,357.94, 8,777.04 and 4,234.70 is: 5,845.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.94 : 8,777.04 = 4,234.70 : x
  2. Step 2: Convert to fraction form
    6,357.94/8,777.04 = 4,234.70/x
  3. Step 3: Cross multiply
    6,357.94x = 8,777.04 × 4,234.70
  4. Step 4: Simplify right side
    6,357.94x = 37,168,131.29
  5. Step 5: Solve for x
    x = 37,168,131.29/6,357.94
  6. Step 6: Final answer
    x = 5,845.94

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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.