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Finding the Fourth Proportional to 6,442.29, 9,663.53 and 1,825.29

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Solution

The fourth proportional to 6,442.29, 9,663.53 and 1,825.29 is: 2,737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.29 : 9,663.53 = 1,825.29 : x
  2. Step 2: Convert to fraction form
    6,442.29/9,663.53 = 1,825.29/x
  3. Step 3: Cross multiply
    6,442.29x = 9,663.53 × 1,825.29
  4. Step 4: Simplify right side
    6,442.29x = 17,638,735.55
  5. Step 5: Solve for x
    x = 17,638,735.55/6,442.29
  6. Step 6: Final answer
    x = 2,737.96

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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.