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Finding the Fourth Proportional to 9,398.04, 12,969.26 and 5,206.20

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Solution

The fourth proportional to 9,398.04, 12,969.26 and 5,206.20 is: 7,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.04 : 12,969.26 = 5,206.20 : x
  2. Step 2: Convert to fraction form
    9,398.04/12,969.26 = 5,206.20/x
  3. Step 3: Cross multiply
    9,398.04x = 12,969.26 × 5,206.20
  4. Step 4: Simplify right side
    9,398.04x = 67,520,561.41
  5. Step 5: Solve for x
    x = 67,520,561.41/9,398.04
  6. Step 6: Final answer
    x = 7,184.54

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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.