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Finding the Fourth Proportional to 9,476.32, 14,214.34 and 2,902.48

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Solution

The fourth proportional to 9,476.32, 14,214.34 and 2,902.48 is: 4,353.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.32 : 14,214.34 = 2,902.48 : x
  2. Step 2: Convert to fraction form
    9,476.32/14,214.34 = 2,902.48/x
  3. Step 3: Cross multiply
    9,476.32x = 14,214.34 × 2,902.48
  4. Step 4: Simplify right side
    9,476.32x = 41,256,837.56
  5. Step 5: Solve for x
    x = 41,256,837.56/9,476.32
  6. Step 6: Final answer
    x = 4,353.68

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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.