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Finding the Fourth Proportional to 9,856.63, 13,601.91 and 5,380.48

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Solution

The fourth proportional to 9,856.63, 13,601.91 and 5,380.48 is: 7,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.63 : 13,601.91 = 5,380.48 : x
  2. Step 2: Convert to fraction form
    9,856.63/13,601.91 = 5,380.48/x
  3. Step 3: Cross multiply
    9,856.63x = 13,601.91 × 5,380.48
  4. Step 4: Simplify right side
    9,856.63x = 73,184,804.72
  5. Step 5: Solve for x
    x = 73,184,804.72/9,856.63
  6. Step 6: Final answer
    x = 7,424.93

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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.