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Finding the Fourth Proportional to 7,065.91, 9,751.00 and 4,414.86

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Solution

The fourth proportional to 7,065.91, 9,751.00 and 4,414.86 is: 6,092.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.91 : 9,751.00 = 4,414.86 : x
  2. Step 2: Convert to fraction form
    7,065.91/9,751.00 = 4,414.86/x
  3. Step 3: Cross multiply
    7,065.91x = 9,751.00 × 4,414.86
  4. Step 4: Simplify right side
    7,065.91x = 43,049,297.10
  5. Step 5: Solve for x
    x = 43,049,297.10/7,065.91
  6. Step 6: Final answer
    x = 6,092.53

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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.