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Finding the Fourth Proportional to 6,304.48, 9,442.14 and 4,832.44

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Solution

The fourth proportional to 6,304.48, 9,442.14 and 4,832.44 is: 7,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.48 : 9,442.14 = 4,832.44 : x
  2. Step 2: Convert to fraction form
    6,304.48/9,442.14 = 4,832.44/x
  3. Step 3: Cross multiply
    6,304.48x = 9,442.14 × 4,832.44
  4. Step 4: Simplify right side
    6,304.48x = 45,628,575.02
  5. Step 5: Solve for x
    x = 45,628,575.02/6,304.48
  6. Step 6: Final answer
    x = 7,237.48

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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.