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Finding the Fourth Proportional to 9,241.74, 13,865.76 and 5,076.45

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Solution

The fourth proportional to 9,241.74, 13,865.76 and 5,076.45 is: 7,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.74 : 13,865.76 = 5,076.45 : x
  2. Step 2: Convert to fraction form
    9,241.74/13,865.76 = 5,076.45/x
  3. Step 3: Cross multiply
    9,241.74x = 13,865.76 × 5,076.45
  4. Step 4: Simplify right side
    9,241.74x = 70,388,837.35
  5. Step 5: Solve for x
    x = 70,388,837.35/9,241.74
  6. Step 6: Final answer
    x = 7,616.41

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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.