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Finding the Fourth Proportional to 9,856.87, 13,602.81 and 5,380.89

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Solution

The fourth proportional to 9,856.87, 13,602.81 and 5,380.89 is: 7,425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.87 : 13,602.81 = 5,380.89 : x
  2. Step 2: Convert to fraction form
    9,856.87/13,602.81 = 5,380.89/x
  3. Step 3: Cross multiply
    9,856.87x = 13,602.81 × 5,380.89
  4. Step 4: Simplify right side
    9,856.87x = 73,195,224.30
  5. Step 5: Solve for x
    x = 73,195,224.30/9,856.87
  6. Step 6: Final answer
    x = 7,425.81

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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.