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Finding the Fourth Proportional to 9,898.49, 13,660.25 and 5,422.23

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Solution

The fourth proportional to 9,898.49, 13,660.25 and 5,422.23 is: 7,482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.49 : 13,660.25 = 5,422.23 : x
  2. Step 2: Convert to fraction form
    9,898.49/13,660.25 = 5,422.23/x
  3. Step 3: Cross multiply
    9,898.49x = 13,660.25 × 5,422.23
  4. Step 4: Simplify right side
    9,898.49x = 74,068,990.25
  5. Step 5: Solve for x
    x = 74,068,990.25/9,898.49
  6. Step 6: Final answer
    x = 7,482.86

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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.