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Finding the Fourth Proportional to 6,464.15, 9,697.13 and 2,303.27

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Solution

The fourth proportional to 6,464.15, 9,697.13 and 2,303.27 is: 3,455.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.15 : 9,697.13 = 2,303.27 : x
  2. Step 2: Convert to fraction form
    6,464.15/9,697.13 = 2,303.27/x
  3. Step 3: Cross multiply
    6,464.15x = 9,697.13 × 2,303.27
  4. Step 4: Simplify right side
    6,464.15x = 22,335,065.89
  5. Step 5: Solve for x
    x = 22,335,065.89/6,464.15
  6. Step 6: Final answer
    x = 3,455.22

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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.