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Finding the Fourth Proportional to 6,213.46, 9,320.91 and 3,094.42

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Solution

The fourth proportional to 6,213.46, 9,320.91 and 3,094.42 is: 4,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.46 : 9,320.91 = 3,094.42 : x
  2. Step 2: Convert to fraction form
    6,213.46/9,320.91 = 3,094.42/x
  3. Step 3: Cross multiply
    6,213.46x = 9,320.91 × 3,094.42
  4. Step 4: Simplify right side
    6,213.46x = 28,842,810.32
  5. Step 5: Solve for x
    x = 28,842,810.32/6,213.46
  6. Step 6: Final answer
    x = 4,641.99

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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.