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Finding the Fourth Proportional to 9,434.84, 14,152.10 and 2,414.79

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Solution

The fourth proportional to 9,434.84, 14,152.10 and 2,414.79 is: 3,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.84 : 14,152.10 = 2,414.79 : x
  2. Step 2: Convert to fraction form
    9,434.84/14,152.10 = 2,414.79/x
  3. Step 3: Cross multiply
    9,434.84x = 14,152.10 × 2,414.79
  4. Step 4: Simplify right side
    9,434.84x = 34,174,349.56
  5. Step 5: Solve for x
    x = 34,174,349.56/9,434.84
  6. Step 6: Final answer
    x = 3,622.15

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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.