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Finding the Fourth Proportional to 9,274.34, 13,912.06 and 3,035

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Solution

The fourth proportional to 9,274.34, 13,912.06 and 3,035 is: 4,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.34 : 13,912.06 = 3,035 : x
  2. Step 2: Convert to fraction form
    9,274.34/13,912.06 = 3,035/x
  3. Step 3: Cross multiply
    9,274.34x = 13,912.06 × 3,035
  4. Step 4: Simplify right side
    9,274.34x = 42,223,102.10
  5. Step 5: Solve for x
    x = 42,223,102.10/9,274.34
  6. Step 6: Final answer
    x = 4,552.68

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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.