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Finding the Fourth Proportional to 6,685.14, 9,225.10 and 3,700.80

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Solution

The fourth proportional to 6,685.14, 9,225.10 and 3,700.80 is: 5,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.14 : 9,225.10 = 3,700.80 : x
  2. Step 2: Convert to fraction form
    6,685.14/9,225.10 = 3,700.80/x
  3. Step 3: Cross multiply
    6,685.14x = 9,225.10 × 3,700.80
  4. Step 4: Simplify right side
    6,685.14x = 34,140,250.08
  5. Step 5: Solve for x
    x = 34,140,250.08/6,685.14
  6. Step 6: Final answer
    x = 5,106.89

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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.