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Finding the Fourth Proportional to 9,857.82, 13,603.84 and 5,381.68

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Solution

The fourth proportional to 9,857.82, 13,603.84 and 5,381.68 is: 7,426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.82 : 13,603.84 = 5,381.68 : x
  2. Step 2: Convert to fraction form
    9,857.82/13,603.84 = 5,381.68/x
  3. Step 3: Cross multiply
    9,857.82x = 13,603.84 × 5,381.68
  4. Step 4: Simplify right side
    9,857.82x = 73,211,513.65
  5. Step 5: Solve for x
    x = 73,211,513.65/9,857.82
  6. Step 6: Final answer
    x = 7,426.74

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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.