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Finding the Fourth Proportional to 7,193.78, 9,929.26 and 6,446.44

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Solution

The fourth proportional to 7,193.78, 9,929.26 and 6,446.44 is: 8,897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.78 : 9,929.26 = 6,446.44 : x
  2. Step 2: Convert to fraction form
    7,193.78/9,929.26 = 6,446.44/x
  3. Step 3: Cross multiply
    7,193.78x = 9,929.26 × 6,446.44
  4. Step 4: Simplify right side
    7,193.78x = 64,008,378.83
  5. Step 5: Solve for x
    x = 64,008,378.83/7,193.78
  6. Step 6: Final answer
    x = 8,897.74

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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.