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Finding the Fourth Proportional to 6,583.13, 9,875.23 and 3,296.15

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Solution

The fourth proportional to 6,583.13, 9,875.23 and 3,296.15 is: 4,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.13 : 9,875.23 = 3,296.15 : x
  2. Step 2: Convert to fraction form
    6,583.13/9,875.23 = 3,296.15/x
  3. Step 3: Cross multiply
    6,583.13x = 9,875.23 × 3,296.15
  4. Step 4: Simplify right side
    6,583.13x = 32,550,239.36
  5. Step 5: Solve for x
    x = 32,550,239.36/6,583.13
  6. Step 6: Final answer
    x = 4,944.49

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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.