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Finding the Fourth Proportional to 6,196.98, 9,298.17 and 2,909.82

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Solution

The fourth proportional to 6,196.98, 9,298.17 and 2,909.82 is: 4,366.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.98 : 9,298.17 = 2,909.82 : x
  2. Step 2: Convert to fraction form
    6,196.98/9,298.17 = 2,909.82/x
  3. Step 3: Cross multiply
    6,196.98x = 9,298.17 × 2,909.82
  4. Step 4: Simplify right side
    6,196.98x = 27,056,001.03
  5. Step 5: Solve for x
    x = 27,056,001.03/6,196.98
  6. Step 6: Final answer
    x = 4,366.00

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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.