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Finding the Fourth Proportional to 6,204.96, 9,307.68 and 1,822.32

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Solution

The fourth proportional to 6,204.96, 9,307.68 and 1,822.32 is: 2,733.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.96 : 9,307.68 = 1,822.32 : x
  2. Step 2: Convert to fraction form
    6,204.96/9,307.68 = 1,822.32/x
  3. Step 3: Cross multiply
    6,204.96x = 9,307.68 × 1,822.32
  4. Step 4: Simplify right side
    6,204.96x = 16,961,571.42
  5. Step 5: Solve for x
    x = 16,961,571.42/6,204.96
  6. Step 6: Final answer
    x = 2,733.55

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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.