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Finding the Fourth Proportional to 6,228.65, 9,343.01 and 1,846.14

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Solution

The fourth proportional to 6,228.65, 9,343.01 and 1,846.14 is: 2,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.65 : 9,343.01 = 1,846.14 : x
  2. Step 2: Convert to fraction form
    6,228.65/9,343.01 = 1,846.14/x
  3. Step 3: Cross multiply
    6,228.65x = 9,343.01 × 1,846.14
  4. Step 4: Simplify right side
    6,228.65x = 17,248,495.25
  5. Step 5: Solve for x
    x = 17,248,495.25/6,228.65
  6. Step 6: Final answer
    x = 2,769.22

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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.