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Finding the Fourth Proportional to 9,398.18, 12,969.50 and 5,206.42

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Solution

The fourth proportional to 9,398.18, 12,969.50 and 5,206.42 is: 7,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.18 : 12,969.50 = 5,206.42 : x
  2. Step 2: Convert to fraction form
    9,398.18/12,969.50 = 5,206.42/x
  3. Step 3: Cross multiply
    9,398.18x = 12,969.50 × 5,206.42
  4. Step 4: Simplify right side
    9,398.18x = 67,524,664.19
  5. Step 5: Solve for x
    x = 67,524,664.19/9,398.18
  6. Step 6: Final answer
    x = 7,184.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.