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Finding the Fourth Proportional to 6,211.65, 9,320.66 and 3,437.81

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Solution

The fourth proportional to 6,211.65, 9,320.66 and 3,437.81 is: 5,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.65 : 9,320.66 = 3,437.81 : x
  2. Step 2: Convert to fraction form
    6,211.65/9,320.66 = 3,437.81/x
  3. Step 3: Cross multiply
    6,211.65x = 9,320.66 × 3,437.81
  4. Step 4: Simplify right side
    6,211.65x = 32,042,594.36
  5. Step 5: Solve for x
    x = 32,042,594.36/6,211.65
  6. Step 6: Final answer
    x = 5,158.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.