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Finding the Fourth Proportional to 6,695.93, 9,242.24 and 4,176.56

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Solution

The fourth proportional to 6,695.93, 9,242.24 and 4,176.56 is: 5,764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.93 : 9,242.24 = 4,176.56 : x
  2. Step 2: Convert to fraction form
    6,695.93/9,242.24 = 4,176.56/x
  3. Step 3: Cross multiply
    6,695.93x = 9,242.24 × 4,176.56
  4. Step 4: Simplify right side
    6,695.93x = 38,600,772.12
  5. Step 5: Solve for x
    x = 38,600,772.12/6,695.93
  6. Step 6: Final answer
    x = 5,764.81

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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.