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Finding the Fourth Proportional to 7,093, 9,788.34 and 4,297.96

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Solution

The fourth proportional to 7,093, 9,788.34 and 4,297.96 is: 5,931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093 : 9,788.34 = 4,297.96 : x
  2. Step 2: Convert to fraction form
    7,093/9,788.34 = 4,297.96/x
  3. Step 3: Cross multiply
    7,093x = 9,788.34 × 4,297.96
  4. Step 4: Simplify right side
    7,093x = 42,069,893.79
  5. Step 5: Solve for x
    x = 42,069,893.79/7,093
  6. Step 6: Final answer
    x = 5,931.18

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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.