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Finding the Fourth Proportional to 10,093.63, 13,920.35 and 7,067.20

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Solution

The fourth proportional to 10,093.63, 13,920.35 and 7,067.20 is: 9,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.63 : 13,920.35 = 7,067.20 : x
  2. Step 2: Convert to fraction form
    10,093.63/13,920.35 = 7,067.20/x
  3. Step 3: Cross multiply
    10,093.63x = 13,920.35 × 7,067.20
  4. Step 4: Simplify right side
    10,093.63x = 98,377,897.52
  5. Step 5: Solve for x
    x = 98,377,897.52/10,093.63
  6. Step 6: Final answer
    x = 9,746.53

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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.