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Finding the Fourth Proportional to 6,465.24, 9,698.76 and 2,081.22

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Solution

The fourth proportional to 6,465.24, 9,698.76 and 2,081.22 is: 3,122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.24 : 9,698.76 = 2,081.22 : x
  2. Step 2: Convert to fraction form
    6,465.24/9,698.76 = 2,081.22/x
  3. Step 3: Cross multiply
    6,465.24x = 9,698.76 × 2,081.22
  4. Step 4: Simplify right side
    6,465.24x = 20,185,253.29
  5. Step 5: Solve for x
    x = 20,185,253.29/6,465.24
  6. Step 6: Final answer
    x = 3,122.12

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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.