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Finding the Fourth Proportional to 6,234.29, 9,349.60 and 5,135.93

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Solution

The fourth proportional to 6,234.29, 9,349.60 and 5,135.93 is: 7,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.29 : 9,349.60 = 5,135.93 : x
  2. Step 2: Convert to fraction form
    6,234.29/9,349.60 = 5,135.93/x
  3. Step 3: Cross multiply
    6,234.29x = 9,349.60 × 5,135.93
  4. Step 4: Simplify right side
    6,234.29x = 48,018,891.13
  5. Step 5: Solve for x
    x = 48,018,891.13/6,234.29
  6. Step 6: Final answer
    x = 7,702.38

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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.