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Finding the Fourth Proportional to 6,214.54, 8,575.93 and 3,381.92

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Solution

The fourth proportional to 6,214.54, 8,575.93 and 3,381.92 is: 4,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.54 : 8,575.93 = 3,381.92 : x
  2. Step 2: Convert to fraction form
    6,214.54/8,575.93 = 3,381.92/x
  3. Step 3: Cross multiply
    6,214.54x = 8,575.93 × 3,381.92
  4. Step 4: Simplify right side
    6,214.54x = 29,003,138.25
  5. Step 5: Solve for x
    x = 29,003,138.25/6,214.54
  6. Step 6: Final answer
    x = 4,666.98

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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.