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Finding the Fourth Proportional to 6,795.24, 9,377.36 and 4,142.48

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Solution

The fourth proportional to 6,795.24, 9,377.36 and 4,142.48 is: 5,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,795.24 : 9,377.36 = 4,142.48 : x
  2. Step 2: Convert to fraction form
    6,795.24/9,377.36 = 4,142.48/x
  3. Step 3: Cross multiply
    6,795.24x = 9,377.36 × 4,142.48
  4. Step 4: Simplify right side
    6,795.24x = 38,845,526.25
  5. Step 5: Solve for x
    x = 38,845,526.25/6,795.24
  6. Step 6: Final answer
    x = 5,716.58

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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.