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Finding the Fourth Proportional to 6,464.45, 9,697.14 and 2,085.05

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Solution

The fourth proportional to 6,464.45, 9,697.14 and 2,085.05 is: 3,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.45 : 9,697.14 = 2,085.05 : x
  2. Step 2: Convert to fraction form
    6,464.45/9,697.14 = 2,085.05/x
  3. Step 3: Cross multiply
    6,464.45x = 9,697.14 × 2,085.05
  4. Step 4: Simplify right side
    6,464.45x = 20,218,973.27
  5. Step 5: Solve for x
    x = 20,218,973.27/6,464.45
  6. Step 6: Final answer
    x = 3,127.72

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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.