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Finding the Fourth Proportional to 6,802.43, 9,388.44 and 6,357.74

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Solution

The fourth proportional to 6,802.43, 9,388.44 and 6,357.74 is: 8,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.43 : 9,388.44 = 6,357.74 : x
  2. Step 2: Convert to fraction form
    6,802.43/9,388.44 = 6,357.74/x
  3. Step 3: Cross multiply
    6,802.43x = 9,388.44 × 6,357.74
  4. Step 4: Simplify right side
    6,802.43x = 59,689,213.58
  5. Step 5: Solve for x
    x = 59,689,213.58/6,802.43
  6. Step 6: Final answer
    x = 8,774.70

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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.