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Finding the Fourth Proportional to 6,096.03, 8,411.36 and 3,442.47

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Solution

The fourth proportional to 6,096.03, 8,411.36 and 3,442.47 is: 4,749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.03 : 8,411.36 = 3,442.47 : x
  2. Step 2: Convert to fraction form
    6,096.03/8,411.36 = 3,442.47/x
  3. Step 3: Cross multiply
    6,096.03x = 8,411.36 × 3,442.47
  4. Step 4: Simplify right side
    6,096.03x = 28,955,837.25
  5. Step 5: Solve for x
    x = 28,955,837.25/6,096.03
  6. Step 6: Final answer
    x = 4,749.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.