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Finding the Fourth Proportional to 6,219.72, 9,322.17 and 4,335.42

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Solution

The fourth proportional to 6,219.72, 9,322.17 and 4,335.42 is: 6,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219.72 : 9,322.17 = 4,335.42 : x
  2. Step 2: Convert to fraction form
    6,219.72/9,322.17 = 4,335.42/x
  3. Step 3: Cross multiply
    6,219.72x = 9,322.17 × 4,335.42
  4. Step 4: Simplify right side
    6,219.72x = 40,415,565.35
  5. Step 5: Solve for x
    x = 40,415,565.35/6,219.72
  6. Step 6: Final answer
    x = 6,497.97

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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.