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Finding the Fourth Proportional to 6,304.36, 9,442.46 and 4,569

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Solution

The fourth proportional to 6,304.36, 9,442.46 and 4,569 is: 6,843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.36 : 9,442.46 = 4,569 : x
  2. Step 2: Convert to fraction form
    6,304.36/9,442.46 = 4,569/x
  3. Step 3: Cross multiply
    6,304.36x = 9,442.46 × 4,569
  4. Step 4: Simplify right side
    6,304.36x = 43,142,599.74
  5. Step 5: Solve for x
    x = 43,142,599.74/6,304.36
  6. Step 6: Final answer
    x = 6,843.30

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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.