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Finding the Fourth Proportional to 6,961.82, 9,615.76 and 5,070.42

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Solution

The fourth proportional to 6,961.82, 9,615.76 and 5,070.42 is: 7,003.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.82 : 9,615.76 = 5,070.42 : x
  2. Step 2: Convert to fraction form
    6,961.82/9,615.76 = 5,070.42/x
  3. Step 3: Cross multiply
    6,961.82x = 9,615.76 × 5,070.42
  4. Step 4: Simplify right side
    6,961.82x = 48,755,941.82
  5. Step 5: Solve for x
    x = 48,755,941.82/6,961.82
  6. Step 6: Final answer
    x = 7,003.33

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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.