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Finding the Fourth Proportional to 6,881.72, 9,495.41 and 4,192.25

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Solution

The fourth proportional to 6,881.72, 9,495.41 and 4,192.25 is: 5,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.72 : 9,495.41 = 4,192.25 : x
  2. Step 2: Convert to fraction form
    6,881.72/9,495.41 = 4,192.25/x
  3. Step 3: Cross multiply
    6,881.72x = 9,495.41 × 4,192.25
  4. Step 4: Simplify right side
    6,881.72x = 39,807,064.13
  5. Step 5: Solve for x
    x = 39,807,064.13/6,881.72
  6. Step 6: Final answer
    x = 5,784.47

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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.