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Finding the Fourth Proportional to 6,891.86, 9,510.69 and 3,748.05

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Solution

The fourth proportional to 6,891.86, 9,510.69 and 3,748.05 is: 5,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.86 : 9,510.69 = 3,748.05 : x
  2. Step 2: Convert to fraction form
    6,891.86/9,510.69 = 3,748.05/x
  3. Step 3: Cross multiply
    6,891.86x = 9,510.69 × 3,748.05
  4. Step 4: Simplify right side
    6,891.86x = 35,646,541.65
  5. Step 5: Solve for x
    x = 35,646,541.65/6,891.86
  6. Step 6: Final answer
    x = 5,172.27

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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.