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Finding the Fourth Proportional to 9,857.19, 13,603.22 and 5,607.47

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Solution

The fourth proportional to 9,857.19, 13,603.22 and 5,607.47 is: 7,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.19 : 13,603.22 = 5,607.47 : x
  2. Step 2: Convert to fraction form
    9,857.19/13,603.22 = 5,607.47/x
  3. Step 3: Cross multiply
    9,857.19x = 13,603.22 × 5,607.47
  4. Step 4: Simplify right side
    9,857.19x = 76,279,648.05
  5. Step 5: Solve for x
    x = 76,279,648.05/9,857.19
  6. Step 6: Final answer
    x = 7,738.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.