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Finding the Fourth Proportional to 6,365.78, 8,785.17 and 4,237.64

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Solution

The fourth proportional to 6,365.78, 8,785.17 and 4,237.64 is: 5,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.78 : 8,785.17 = 4,237.64 : x
  2. Step 2: Convert to fraction form
    6,365.78/8,785.17 = 4,237.64/x
  3. Step 3: Cross multiply
    6,365.78x = 8,785.17 × 4,237.64
  4. Step 4: Simplify right side
    6,365.78x = 37,228,387.80
  5. Step 5: Solve for x
    x = 37,228,387.80/6,365.78
  6. Step 6: Final answer
    x = 5,848.21

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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.