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Finding the Fourth Proportional to 9,856.54, 13,601.65 and 5,380.19

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Solution

The fourth proportional to 9,856.54, 13,601.65 and 5,380.19 is: 7,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.54 : 13,601.65 = 5,380.19 : x
  2. Step 2: Convert to fraction form
    9,856.54/13,601.65 = 5,380.19/x
  3. Step 3: Cross multiply
    9,856.54x = 13,601.65 × 5,380.19
  4. Step 4: Simplify right side
    9,856.54x = 73,179,461.31
  5. Step 5: Solve for x
    x = 73,179,461.31/9,856.54
  6. Step 6: Final answer
    x = 7,424.46

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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.