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Finding the Fourth Proportional to 9,049.60, 13,636.05 and 7,442.15

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Solution

The fourth proportional to 9,049.60, 13,636.05 and 7,442.15 is: 11,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.60 : 13,636.05 = 7,442.15 : x
  2. Step 2: Convert to fraction form
    9,049.60/13,636.05 = 7,442.15/x
  3. Step 3: Cross multiply
    9,049.60x = 13,636.05 × 7,442.15
  4. Step 4: Simplify right side
    9,049.60x = 101,481,492.30
  5. Step 5: Solve for x
    x = 101,481,492.30/9,049.60
  6. Step 6: Final answer
    x = 11,213.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.