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Finding the Fourth Proportional to 6,657.46, 9,186.66 and 3,673.42

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Solution

The fourth proportional to 6,657.46, 9,186.66 and 3,673.42 is: 5,068.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.46 : 9,186.66 = 3,673.42 : x
  2. Step 2: Convert to fraction form
    6,657.46/9,186.66 = 3,673.42/x
  3. Step 3: Cross multiply
    6,657.46x = 9,186.66 × 3,673.42
  4. Step 4: Simplify right side
    6,657.46x = 33,746,460.58
  5. Step 5: Solve for x
    x = 33,746,460.58/6,657.46
  6. Step 6: Final answer
    x = 5,068.97

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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.