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Finding the Fourth Proportional to 6,773.56, 9,350.38 and 4,417.72

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Solution

The fourth proportional to 6,773.56, 9,350.38 and 4,417.72 is: 6,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.56 : 9,350.38 = 4,417.72 : x
  2. Step 2: Convert to fraction form
    6,773.56/9,350.38 = 4,417.72/x
  3. Step 3: Cross multiply
    6,773.56x = 9,350.38 × 4,417.72
  4. Step 4: Simplify right side
    6,773.56x = 41,307,360.73
  5. Step 5: Solve for x
    x = 41,307,360.73/6,773.56
  6. Step 6: Final answer
    x = 6,098.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.