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Finding the Fourth Proportional to 9,434.93, 14,152.23 and 2,414.87

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Solution

The fourth proportional to 9,434.93, 14,152.23 and 2,414.87 is: 3,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.93 : 14,152.23 = 2,414.87 : x
  2. Step 2: Convert to fraction form
    9,434.93/14,152.23 = 2,414.87/x
  3. Step 3: Cross multiply
    9,434.93x = 14,152.23 × 2,414.87
  4. Step 4: Simplify right side
    9,434.93x = 34,175,831.04
  5. Step 5: Solve for x
    x = 34,175,831.04/9,434.93
  6. Step 6: Final answer
    x = 3,622.27

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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.