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Finding the Fourth Proportional to 6,819.92, 9,416.04 and 4,026.32

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Solution

The fourth proportional to 6,819.92, 9,416.04 and 4,026.32 is: 5,559.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.92 : 9,416.04 = 4,026.32 : x
  2. Step 2: Convert to fraction form
    6,819.92/9,416.04 = 4,026.32/x
  3. Step 3: Cross multiply
    6,819.92x = 9,416.04 × 4,026.32
  4. Step 4: Simplify right side
    6,819.92x = 37,911,990.17
  5. Step 5: Solve for x
    x = 37,911,990.17/6,819.92
  6. Step 6: Final answer
    x = 5,559.01

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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.