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Finding the Fourth Proportional to 9,278.35, 13,903.85 and 6,801.57

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Solution

The fourth proportional to 9,278.35, 13,903.85 and 6,801.57 is: 10,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.35 : 13,903.85 = 6,801.57 : x
  2. Step 2: Convert to fraction form
    9,278.35/13,903.85 = 6,801.57/x
  3. Step 3: Cross multiply
    9,278.35x = 13,903.85 × 6,801.57
  4. Step 4: Simplify right side
    9,278.35x = 94,568,026.05
  5. Step 5: Solve for x
    x = 94,568,026.05/9,278.35
  6. Step 6: Final answer
    x = 10,192.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.