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Finding the Fourth Proportional to 6,234.13, 8,603.45 and 4,136.77

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Solution

The fourth proportional to 6,234.13, 8,603.45 and 4,136.77 is: 5,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.13 : 8,603.45 = 4,136.77 : x
  2. Step 2: Convert to fraction form
    6,234.13/8,603.45 = 4,136.77/x
  3. Step 3: Cross multiply
    6,234.13x = 8,603.45 × 4,136.77
  4. Step 4: Simplify right side
    6,234.13x = 35,590,493.86
  5. Step 5: Solve for x
    x = 35,590,493.86/6,234.13
  6. Step 6: Final answer
    x = 5,708.98

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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.