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Finding the Fourth Proportional to 9,855.96, 13,601.52 and 5,380.01

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Solution

The fourth proportional to 9,855.96, 13,601.52 and 5,380.01 is: 7,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.96 : 13,601.52 = 5,380.01 : x
  2. Step 2: Convert to fraction form
    9,855.96/13,601.52 = 5,380.01/x
  3. Step 3: Cross multiply
    9,855.96x = 13,601.52 × 5,380.01
  4. Step 4: Simplify right side
    9,855.96x = 73,176,245.61
  5. Step 5: Solve for x
    x = 73,176,245.61/9,855.96
  6. Step 6: Final answer
    x = 7,424.57

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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.