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Finding the Fourth Proportional to 9,396.70, 14,094.33 and 2,471.02

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Solution

The fourth proportional to 9,396.70, 14,094.33 and 2,471.02 is: 3,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.70 : 14,094.33 = 2,471.02 : x
  2. Step 2: Convert to fraction form
    9,396.70/14,094.33 = 2,471.02/x
  3. Step 3: Cross multiply
    9,396.70x = 14,094.33 × 2,471.02
  4. Step 4: Simplify right side
    9,396.70x = 34,827,371.32
  5. Step 5: Solve for x
    x = 34,827,371.32/9,396.70
  6. Step 6: Final answer
    x = 3,706.34

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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.