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Finding the Fourth Proportional to 9,857.27, 13,603.16 and 5,880.68

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Solution

The fourth proportional to 9,857.27, 13,603.16 and 5,880.68 is: 8,115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.27 : 13,603.16 = 5,880.68 : x
  2. Step 2: Convert to fraction form
    9,857.27/13,603.16 = 5,880.68/x
  3. Step 3: Cross multiply
    9,857.27x = 13,603.16 × 5,880.68
  4. Step 4: Simplify right side
    9,857.27x = 79,995,830.95
  5. Step 5: Solve for x
    x = 79,995,830.95/9,857.27
  6. Step 6: Final answer
    x = 8,115.41

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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.