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Finding the Fourth Proportional to 4,331.74, 6,500.09 and 4,296.50

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Solution

The fourth proportional to 4,331.74, 6,500.09 and 4,296.50 is: 6,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.74 : 6,500.09 = 4,296.50 : x
  2. Step 2: Convert to fraction form
    4,331.74/6,500.09 = 4,296.50/x
  3. Step 3: Cross multiply
    4,331.74x = 6,500.09 × 4,296.50
  4. Step 4: Simplify right side
    4,331.74x = 27,927,615.20
  5. Step 5: Solve for x
    x = 27,927,615.20/4,331.74
  6. Step 6: Final answer
    x = 6,447.21

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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.