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Finding the Fourth Proportional to 9,442.34, 14,163.54 and 4,242.14

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Solution

The fourth proportional to 9,442.34, 14,163.54 and 4,242.14 is: 6,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.34 : 14,163.54 = 4,242.14 : x
  2. Step 2: Convert to fraction form
    9,442.34/14,163.54 = 4,242.14/x
  3. Step 3: Cross multiply
    9,442.34x = 14,163.54 × 4,242.14
  4. Step 4: Simplify right side
    9,442.34x = 60,083,627.55
  5. Step 5: Solve for x
    x = 60,083,627.55/9,442.34
  6. Step 6: Final answer
    x = 6,363.22

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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.