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Finding the Fourth Proportional to 6,963.12, 9,605.70 and 5,071.77

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Solution

The fourth proportional to 6,963.12, 9,605.70 and 5,071.77 is: 6,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.12 : 9,605.70 = 5,071.77 : x
  2. Step 2: Convert to fraction form
    6,963.12/9,605.70 = 5,071.77/x
  3. Step 3: Cross multiply
    6,963.12x = 9,605.70 × 5,071.77
  4. Step 4: Simplify right side
    6,963.12x = 48,717,901.09
  5. Step 5: Solve for x
    x = 48,717,901.09/6,963.12
  6. Step 6: Final answer
    x = 6,996.56

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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.