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Finding the Fourth Proportional to 9,798.24, 13,517.06 and 7,403.88

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Solution

The fourth proportional to 9,798.24, 13,517.06 and 7,403.88 is: 10,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.24 : 13,517.06 = 7,403.88 : x
  2. Step 2: Convert to fraction form
    9,798.24/13,517.06 = 7,403.88/x
  3. Step 3: Cross multiply
    9,798.24x = 13,517.06 × 7,403.88
  4. Step 4: Simplify right side
    9,798.24x = 100,078,690.19
  5. Step 5: Solve for x
    x = 100,078,690.19/9,798.24
  6. Step 6: Final answer
    x = 10,213.95

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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.