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Finding the Fourth Proportional to 9,857.70, 13,603.41 and 5,381.28

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Solution

The fourth proportional to 9,857.70, 13,603.41 and 5,381.28 is: 7,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.70 : 13,603.41 = 5,381.28 : x
  2. Step 2: Convert to fraction form
    9,857.70/13,603.41 = 5,381.28/x
  3. Step 3: Cross multiply
    9,857.70x = 13,603.41 × 5,381.28
  4. Step 4: Simplify right side
    9,857.70x = 73,203,758.16
  5. Step 5: Solve for x
    x = 73,203,758.16/9,857.70
  6. Step 6: Final answer
    x = 7,426.05

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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.