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Finding the Fourth Proportional to 6,695.83, 9,239.16 and 4,177.54

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Solution

The fourth proportional to 6,695.83, 9,239.16 and 4,177.54 is: 5,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.83 : 9,239.16 = 4,177.54 : x
  2. Step 2: Convert to fraction form
    6,695.83/9,239.16 = 4,177.54/x
  3. Step 3: Cross multiply
    6,695.83x = 9,239.16 × 4,177.54
  4. Step 4: Simplify right side
    6,695.83x = 38,596,960.47
  5. Step 5: Solve for x
    x = 38,596,960.47/6,695.83
  6. Step 6: Final answer
    x = 5,764.33

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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.