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Finding the Fourth Proportional to 6,695.72, 9,241.22 and 3,902.76

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Solution

The fourth proportional to 6,695.72, 9,241.22 and 3,902.76 is: 5,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.72 : 9,241.22 = 3,902.76 : x
  2. Step 2: Convert to fraction form
    6,695.72/9,241.22 = 3,902.76/x
  3. Step 3: Cross multiply
    6,695.72x = 9,241.22 × 3,902.76
  4. Step 4: Simplify right side
    6,695.72x = 36,066,263.77
  5. Step 5: Solve for x
    x = 36,066,263.77/6,695.72
  6. Step 6: Final answer
    x = 5,386.47

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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.