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Finding the Fourth Proportional to 6,509.97, 9,767.69 and 4,046.86

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Solution

The fourth proportional to 6,509.97, 9,767.69 and 4,046.86 is: 6,071.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.97 : 9,767.69 = 4,046.86 : x
  2. Step 2: Convert to fraction form
    6,509.97/9,767.69 = 4,046.86/x
  3. Step 3: Cross multiply
    6,509.97x = 9,767.69 × 4,046.86
  4. Step 4: Simplify right side
    6,509.97x = 39,528,481.10
  5. Step 5: Solve for x
    x = 39,528,481.10/6,509.97
  6. Step 6: Final answer
    x = 6,071.99

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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.