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Finding the Fourth Proportional to 6,203.84, 9,302.88 and 3,607.52

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Solution

The fourth proportional to 6,203.84, 9,302.88 and 3,607.52 is: 5,409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.84 : 9,302.88 = 3,607.52 : x
  2. Step 2: Convert to fraction form
    6,203.84/9,302.88 = 3,607.52/x
  3. Step 3: Cross multiply
    6,203.84x = 9,302.88 × 3,607.52
  4. Step 4: Simplify right side
    6,203.84x = 33,560,325.66
  5. Step 5: Solve for x
    x = 33,560,325.66/6,203.84
  6. Step 6: Final answer
    x = 5,409.61

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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.