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Finding the Fourth Proportional to 9,856.74, 13,602.26 and 5,380.49

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Solution

The fourth proportional to 9,856.74, 13,602.26 and 5,380.49 is: 7,425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.74 : 13,602.26 = 5,380.49 : x
  2. Step 2: Convert to fraction form
    9,856.74/13,602.26 = 5,380.49/x
  3. Step 3: Cross multiply
    9,856.74x = 13,602.26 × 5,380.49
  4. Step 4: Simplify right side
    9,856.74x = 73,186,871.36
  5. Step 5: Solve for x
    x = 73,186,871.36/9,856.74
  6. Step 6: Final answer
    x = 7,425.06

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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.