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Finding the Fourth Proportional to 6,305.60, 9,464.24 and 3,187.81

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Solution

The fourth proportional to 6,305.60, 9,464.24 and 3,187.81 is: 4,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.60 : 9,464.24 = 3,187.81 : x
  2. Step 2: Convert to fraction form
    6,305.60/9,464.24 = 3,187.81/x
  3. Step 3: Cross multiply
    6,305.60x = 9,464.24 × 3,187.81
  4. Step 4: Simplify right side
    6,305.60x = 30,170,159.31
  5. Step 5: Solve for x
    x = 30,170,159.31/6,305.60
  6. Step 6: Final answer
    x = 4,784.66

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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.