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Finding the Fourth Proportional to 6,844.98, 9,387.14 and 6,560.94

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Solution

The fourth proportional to 6,844.98, 9,387.14 and 6,560.94 is: 8,997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.98 : 9,387.14 = 6,560.94 : x
  2. Step 2: Convert to fraction form
    6,844.98/9,387.14 = 6,560.94/x
  3. Step 3: Cross multiply
    6,844.98x = 9,387.14 × 6,560.94
  4. Step 4: Simplify right side
    6,844.98x = 61,588,462.31
  5. Step 5: Solve for x
    x = 61,588,462.31/6,844.98
  6. Step 6: Final answer
    x = 8,997.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.