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Finding the Fourth Proportional to 6,204.66, 9,304.56 and 2,307.84

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Solution

The fourth proportional to 6,204.66, 9,304.56 and 2,307.84 is: 3,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.66 : 9,304.56 = 2,307.84 : x
  2. Step 2: Convert to fraction form
    6,204.66/9,304.56 = 2,307.84/x
  3. Step 3: Cross multiply
    6,204.66x = 9,304.56 × 2,307.84
  4. Step 4: Simplify right side
    6,204.66x = 21,473,435.75
  5. Step 5: Solve for x
    x = 21,473,435.75/6,204.66
  6. Step 6: Final answer
    x = 3,460.86

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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.