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Finding the Fourth Proportional to 6,657.14, 9,186.80 and 3,673.10

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Solution

The fourth proportional to 6,657.14, 9,186.80 and 3,673.10 is: 5,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.14 : 9,186.80 = 3,673.10 : x
  2. Step 2: Convert to fraction form
    6,657.14/9,186.80 = 3,673.10/x
  3. Step 3: Cross multiply
    6,657.14x = 9,186.80 × 3,673.10
  4. Step 4: Simplify right side
    6,657.14x = 33,743,970.78
  5. Step 5: Solve for x
    x = 33,743,970.78/6,657.14
  6. Step 6: Final answer
    x = 5,068.84

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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.