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Finding the Fourth Proportional to 6,313.42, 9,455.55 and 3,535.93

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Solution

The fourth proportional to 6,313.42, 9,455.55 and 3,535.93 is: 5,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.42 : 9,455.55 = 3,535.93 : x
  2. Step 2: Convert to fraction form
    6,313.42/9,455.55 = 3,535.93/x
  3. Step 3: Cross multiply
    6,313.42x = 9,455.55 × 3,535.93
  4. Step 4: Simplify right side
    6,313.42x = 33,434,162.91
  5. Step 5: Solve for x
    x = 33,434,162.91/6,313.42
  6. Step 6: Final answer
    x = 5,295.73

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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.