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Finding the Fourth Proportional to 9,856.83, 13,601.66 and 5,380.32

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Solution

The fourth proportional to 9,856.83, 13,601.66 and 5,380.32 is: 7,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.83 : 13,601.66 = 5,380.32 : x
  2. Step 2: Convert to fraction form
    9,856.83/13,601.66 = 5,380.32/x
  3. Step 3: Cross multiply
    9,856.83x = 13,601.66 × 5,380.32
  4. Step 4: Simplify right side
    9,856.83x = 73,181,256.43
  5. Step 5: Solve for x
    x = 73,181,256.43/9,856.83
  6. Step 6: Final answer
    x = 7,424.42

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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.