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Finding the Fourth Proportional to 6,327.86, 9,495.02 and 4,610.66

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Solution

The fourth proportional to 6,327.86, 9,495.02 and 4,610.66 is: 6,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.86 : 9,495.02 = 4,610.66 : x
  2. Step 2: Convert to fraction form
    6,327.86/9,495.02 = 4,610.66/x
  3. Step 3: Cross multiply
    6,327.86x = 9,495.02 × 4,610.66
  4. Step 4: Simplify right side
    6,327.86x = 43,778,272.96
  5. Step 5: Solve for x
    x = 43,778,272.96/6,327.86
  6. Step 6: Final answer
    x = 6,918.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.