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Finding the Fourth Proportional to 9,856.82, 13,602.46 and 5,380.68

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Solution

The fourth proportional to 9,856.82, 13,602.46 and 5,380.68 is: 7,425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.82 : 13,602.46 = 5,380.68 : x
  2. Step 2: Convert to fraction form
    9,856.82/13,602.46 = 5,380.68/x
  3. Step 3: Cross multiply
    9,856.82x = 13,602.46 × 5,380.68
  4. Step 4: Simplify right side
    9,856.82x = 73,190,484.47
  5. Step 5: Solve for x
    x = 73,190,484.47/9,856.82
  6. Step 6: Final answer
    x = 7,425.36

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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.