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Finding the Fourth Proportional to 6,346.82, 9,515.07 and 4,260.47

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Solution

The fourth proportional to 6,346.82, 9,515.07 and 4,260.47 is: 6,387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.82 : 9,515.07 = 4,260.47 : x
  2. Step 2: Convert to fraction form
    6,346.82/9,515.07 = 4,260.47/x
  3. Step 3: Cross multiply
    6,346.82x = 9,515.07 × 4,260.47
  4. Step 4: Simplify right side
    6,346.82x = 40,538,622.71
  5. Step 5: Solve for x
    x = 40,538,622.71/6,346.82
  6. Step 6: Final answer
    x = 6,387.23

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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.