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Finding the Fourth Proportional to 6,227.66, 9,341.52 and 1,610.66

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Solution

The fourth proportional to 6,227.66, 9,341.52 and 1,610.66 is: 2,416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.66 : 9,341.52 = 1,610.66 : x
  2. Step 2: Convert to fraction form
    6,227.66/9,341.52 = 1,610.66/x
  3. Step 3: Cross multiply
    6,227.66x = 9,341.52 × 1,610.66
  4. Step 4: Simplify right side
    6,227.66x = 15,046,012.60
  5. Step 5: Solve for x
    x = 15,046,012.60/6,227.66
  6. Step 6: Final answer
    x = 2,416.00

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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.