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Finding the Fourth Proportional to 6,214.13, 8,575.66 and 3,381.66

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Solution

The fourth proportional to 6,214.13, 8,575.66 and 3,381.66 is: 4,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.13 : 8,575.66 = 3,381.66 : x
  2. Step 2: Convert to fraction form
    6,214.13/8,575.66 = 3,381.66/x
  3. Step 3: Cross multiply
    6,214.13x = 8,575.66 × 3,381.66
  4. Step 4: Simplify right side
    6,214.13x = 28,999,966.40
  5. Step 5: Solve for x
    x = 28,999,966.40/6,214.13
  6. Step 6: Final answer
    x = 4,666.78

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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.