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Finding the Fourth Proportional to 6,999.82, 9,642.85 and 5,880.80

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Solution

The fourth proportional to 6,999.82, 9,642.85 and 5,880.80 is: 8,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.82 : 9,642.85 = 5,880.80 : x
  2. Step 2: Convert to fraction form
    6,999.82/9,642.85 = 5,880.80/x
  3. Step 3: Cross multiply
    6,999.82x = 9,642.85 × 5,880.80
  4. Step 4: Simplify right side
    6,999.82x = 56,707,681.69
  5. Step 5: Solve for x
    x = 56,707,681.69/6,999.82
  6. Step 6: Final answer
    x = 8,101.31

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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.