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Finding the Fourth Proportional to 6,657.40, 9,186.42 and 3,862.36

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Solution

The fourth proportional to 6,657.40, 9,186.42 and 3,862.36 is: 5,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.40 : 9,186.42 = 3,862.36 : x
  2. Step 2: Convert to fraction form
    6,657.40/9,186.42 = 3,862.36/x
  3. Step 3: Cross multiply
    6,657.40x = 9,186.42 × 3,862.36
  4. Step 4: Simplify right side
    6,657.40x = 35,481,261.15
  5. Step 5: Solve for x
    x = 35,481,261.15/6,657.40
  6. Step 6: Final answer
    x = 5,329.60

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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.