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Finding the Fourth Proportional to 9,857.21, 13,602.69 and 5,380.70

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Solution

The fourth proportional to 9,857.21, 13,602.69 and 5,380.70 is: 7,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.21 : 13,602.69 = 5,380.70 : x
  2. Step 2: Convert to fraction form
    9,857.21/13,602.69 = 5,380.70/x
  3. Step 3: Cross multiply
    9,857.21x = 13,602.69 × 5,380.70
  4. Step 4: Simplify right side
    9,857.21x = 73,191,926.07
  5. Step 5: Solve for x
    x = 73,191,926.07/9,857.21
  6. Step 6: Final answer
    x = 7,425.22

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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.