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Finding the Fourth Proportional to 9,857.21, 13,602.92 and 5,381.01

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Solution

The fourth proportional to 9,857.21, 13,602.92 and 5,381.01 is: 7,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.21 : 13,602.92 = 5,381.01 : x
  2. Step 2: Convert to fraction form
    9,857.21/13,602.92 = 5,381.01/x
  3. Step 3: Cross multiply
    9,857.21x = 13,602.92 × 5,381.01
  4. Step 4: Simplify right side
    9,857.21x = 73,197,421.64
  5. Step 5: Solve for x
    x = 73,197,421.64/9,857.21
  6. Step 6: Final answer
    x = 7,425.78

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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.