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Finding the Fourth Proportional to 9,873.01, 13,624.44 and 5,396.80

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Solution

The fourth proportional to 9,873.01, 13,624.44 and 5,396.80 is: 7,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.01 : 13,624.44 = 5,396.80 : x
  2. Step 2: Convert to fraction form
    9,873.01/13,624.44 = 5,396.80/x
  3. Step 3: Cross multiply
    9,873.01x = 13,624.44 × 5,396.80
  4. Step 4: Simplify right side
    9,873.01x = 73,528,377.79
  5. Step 5: Solve for x
    x = 73,528,377.79/9,873.01
  6. Step 6: Final answer
    x = 7,447.41

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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.