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Finding the Fourth Proportional to 9,245.76, 13,868.28 and 5,094

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Solution

The fourth proportional to 9,245.76, 13,868.28 and 5,094 is: 7,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.76 : 13,868.28 = 5,094 : x
  2. Step 2: Convert to fraction form
    9,245.76/13,868.28 = 5,094/x
  3. Step 3: Cross multiply
    9,245.76x = 13,868.28 × 5,094
  4. Step 4: Simplify right side
    9,245.76x = 70,645,018.32
  5. Step 5: Solve for x
    x = 70,645,018.32/9,245.76
  6. Step 6: Final answer
    x = 7,640.80

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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.