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Finding the Fourth Proportional to 6,569.07, 9,849.99 and 4,491.42

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Solution

The fourth proportional to 6,569.07, 9,849.99 and 4,491.42 is: 6,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.07 : 9,849.99 = 4,491.42 : x
  2. Step 2: Convert to fraction form
    6,569.07/9,849.99 = 4,491.42/x
  3. Step 3: Cross multiply
    6,569.07x = 9,849.99 × 4,491.42
  4. Step 4: Simplify right side
    6,569.07x = 44,240,442.09
  5. Step 5: Solve for x
    x = 44,240,442.09/6,569.07
  6. Step 6: Final answer
    x = 6,734.66

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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.