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Finding the Fourth Proportional to 9,898.74, 13,660.14 and 5,422.44

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Solution

The fourth proportional to 9,898.74, 13,660.14 and 5,422.44 is: 7,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.74 : 13,660.14 = 5,422.44 : x
  2. Step 2: Convert to fraction form
    9,898.74/13,660.14 = 5,422.44/x
  3. Step 3: Cross multiply
    9,898.74x = 13,660.14 × 5,422.44
  4. Step 4: Simplify right side
    9,898.74x = 74,071,289.54
  5. Step 5: Solve for x
    x = 74,071,289.54/9,898.74
  6. Step 6: Final answer
    x = 7,482.90

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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.