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Finding the Fourth Proportional to 9,857.78, 13,603.23 and 5,381.49

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Solution

The fourth proportional to 9,857.78, 13,603.23 and 5,381.49 is: 7,426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.78 : 13,603.23 = 5,381.49 : x
  2. Step 2: Convert to fraction form
    9,857.78/13,603.23 = 5,381.49/x
  3. Step 3: Cross multiply
    9,857.78x = 13,603.23 × 5,381.49
  4. Step 4: Simplify right side
    9,857.78x = 73,205,646.21
  5. Step 5: Solve for x
    x = 73,205,646.21/9,857.78
  6. Step 6: Final answer
    x = 7,426.18

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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.