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Finding the Fourth Proportional to 6,810, 9,391.56 and 4,417.48

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Solution

The fourth proportional to 6,810, 9,391.56 and 4,417.48 is: 6,092.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810 : 9,391.56 = 4,417.48 : x
  2. Step 2: Convert to fraction form
    6,810/9,391.56 = 4,417.48/x
  3. Step 3: Cross multiply
    6,810x = 9,391.56 × 4,417.48
  4. Step 4: Simplify right side
    6,810x = 41,487,028.47
  5. Step 5: Solve for x
    x = 41,487,028.47/6,810
  6. Step 6: Final answer
    x = 6,092.07

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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.