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Finding the Fourth Proportional to 6,196.68, 9,296.84 and 2,497.01

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Solution

The fourth proportional to 6,196.68, 9,296.84 and 2,497.01 is: 3,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.68 : 9,296.84 = 2,497.01 : x
  2. Step 2: Convert to fraction form
    6,196.68/9,296.84 = 2,497.01/x
  3. Step 3: Cross multiply
    6,196.68x = 9,296.84 × 2,497.01
  4. Step 4: Simplify right side
    6,196.68x = 23,214,302.45
  5. Step 5: Solve for x
    x = 23,214,302.45/6,196.68
  6. Step 6: Final answer
    x = 3,746.25

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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.