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Finding the Fourth Proportional to 6,558.91, 9,838.33 and 2,810.14

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Solution

The fourth proportional to 6,558.91, 9,838.33 and 2,810.14 is: 4,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.91 : 9,838.33 = 2,810.14 : x
  2. Step 2: Convert to fraction form
    6,558.91/9,838.33 = 2,810.14/x
  3. Step 3: Cross multiply
    6,558.91x = 9,838.33 × 2,810.14
  4. Step 4: Simplify right side
    6,558.91x = 27,647,053.05
  5. Step 5: Solve for x
    x = 27,647,053.05/6,558.91
  6. Step 6: Final answer
    x = 4,215.19

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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.