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Finding the Fourth Proportional to 9,433.48, 13,019.02 and 5,242

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Solution

The fourth proportional to 9,433.48, 13,019.02 and 5,242 is: 7,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.48 : 13,019.02 = 5,242 : x
  2. Step 2: Convert to fraction form
    9,433.48/13,019.02 = 5,242/x
  3. Step 3: Cross multiply
    9,433.48x = 13,019.02 × 5,242
  4. Step 4: Simplify right side
    9,433.48x = 68,245,702.84
  5. Step 5: Solve for x
    x = 68,245,702.84/9,433.48
  6. Step 6: Final answer
    x = 7,234.41

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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.