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Finding the Fourth Proportional to 6,995.07, 9,651.96 and 5,666.49

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Solution

The fourth proportional to 6,995.07, 9,651.96 and 5,666.49 is: 7,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.07 : 9,651.96 = 5,666.49 : x
  2. Step 2: Convert to fraction form
    6,995.07/9,651.96 = 5,666.49/x
  3. Step 3: Cross multiply
    6,995.07x = 9,651.96 × 5,666.49
  4. Step 4: Simplify right side
    6,995.07x = 54,692,734.82
  5. Step 5: Solve for x
    x = 54,692,734.82/6,995.07
  6. Step 6: Final answer
    x = 7,818.75

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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.