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Finding the Fourth Proportional to 9,418.75, 13,000.21 and 5,442.17

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Solution

The fourth proportional to 9,418.75, 13,000.21 and 5,442.17 is: 7,511.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418.75 : 13,000.21 = 5,442.17 : x
  2. Step 2: Convert to fraction form
    9,418.75/13,000.21 = 5,442.17/x
  3. Step 3: Cross multiply
    9,418.75x = 13,000.21 × 5,442.17
  4. Step 4: Simplify right side
    9,418.75x = 70,749,274.25
  5. Step 5: Solve for x
    x = 70,749,274.25/9,418.75
  6. Step 6: Final answer
    x = 7,511.54

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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.