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Finding the Fourth Proportional to 6,919.66, 10,420.54 and 6,234.40

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Solution

The fourth proportional to 6,919.66, 10,420.54 and 6,234.40 is: 9,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,919.66 : 10,420.54 = 6,234.40 : x
  2. Step 2: Convert to fraction form
    6,919.66/10,420.54 = 6,234.40/x
  3. Step 3: Cross multiply
    6,919.66x = 10,420.54 × 6,234.40
  4. Step 4: Simplify right side
    6,919.66x = 64,965,814.58
  5. Step 5: Solve for x
    x = 64,965,814.58/6,919.66
  6. Step 6: Final answer
    x = 9,388.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.