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Finding the Fourth Proportional to 6,196.77, 9,291.78 and 2,497.10

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Solution

The fourth proportional to 6,196.77, 9,291.78 and 2,497.10 is: 3,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.77 : 9,291.78 = 2,497.10 : x
  2. Step 2: Convert to fraction form
    6,196.77/9,291.78 = 2,497.10/x
  3. Step 3: Cross multiply
    6,196.77x = 9,291.78 × 2,497.10
  4. Step 4: Simplify right side
    6,196.77x = 23,202,457.38
  5. Step 5: Solve for x
    x = 23,202,457.38/6,196.77
  6. Step 6: Final answer
    x = 3,744.28

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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.