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Finding the Fourth Proportional to 6,824.30, 9,416.06 and 4,135.10

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Solution

The fourth proportional to 6,824.30, 9,416.06 and 4,135.10 is: 5,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.30 : 9,416.06 = 4,135.10 : x
  2. Step 2: Convert to fraction form
    6,824.30/9,416.06 = 4,135.10/x
  3. Step 3: Cross multiply
    6,824.30x = 9,416.06 × 4,135.10
  4. Step 4: Simplify right side
    6,824.30x = 38,936,349.71
  5. Step 5: Solve for x
    x = 38,936,349.71/6,824.30
  6. Step 6: Final answer
    x = 5,705.54

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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.