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Finding the Fourth Proportional to 6,685.52, 9,226.23 and 3,852.66

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Solution

The fourth proportional to 6,685.52, 9,226.23 and 3,852.66 is: 5,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.52 : 9,226.23 = 3,852.66 : x
  2. Step 2: Convert to fraction form
    6,685.52/9,226.23 = 3,852.66/x
  3. Step 3: Cross multiply
    6,685.52x = 9,226.23 × 3,852.66
  4. Step 4: Simplify right side
    6,685.52x = 35,545,547.42
  5. Step 5: Solve for x
    x = 35,545,547.42/6,685.52
  6. Step 6: Final answer
    x = 5,316.80

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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.