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Finding the Fourth Proportional to 7,070.85, 9,755.91 and 4,236.66

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Solution

The fourth proportional to 7,070.85, 9,755.91 and 4,236.66 is: 5,845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.85 : 9,755.91 = 4,236.66 : x
  2. Step 2: Convert to fraction form
    7,070.85/9,755.91 = 4,236.66/x
  3. Step 3: Cross multiply
    7,070.85x = 9,755.91 × 4,236.66
  4. Step 4: Simplify right side
    7,070.85x = 41,332,473.66
  5. Step 5: Solve for x
    x = 41,332,473.66/7,070.85
  6. Step 6: Final answer
    x = 5,845.47

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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.