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Finding the Fourth Proportional to 6,437.24, 9,659.58 and 3,475.67

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Solution

The fourth proportional to 6,437.24, 9,659.58 and 3,475.67 is: 5,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.24 : 9,659.58 = 3,475.67 : x
  2. Step 2: Convert to fraction form
    6,437.24/9,659.58 = 3,475.67/x
  3. Step 3: Cross multiply
    6,437.24x = 9,659.58 × 3,475.67
  4. Step 4: Simplify right side
    6,437.24x = 33,573,464.12
  5. Step 5: Solve for x
    x = 33,573,464.12/6,437.24
  6. Step 6: Final answer
    x = 5,215.51

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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.