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Finding the Fourth Proportional to 6,306.02, 8,699.31 and 4,066.78

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Solution

The fourth proportional to 6,306.02, 8,699.31 and 4,066.78 is: 5,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.02 : 8,699.31 = 4,066.78 : x
  2. Step 2: Convert to fraction form
    6,306.02/8,699.31 = 4,066.78/x
  3. Step 3: Cross multiply
    6,306.02x = 8,699.31 × 4,066.78
  4. Step 4: Simplify right side
    6,306.02x = 35,378,158.17
  5. Step 5: Solve for x
    x = 35,378,158.17/6,306.02
  6. Step 6: Final answer
    x = 5,610.22

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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.