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Finding the Fourth Proportional to 9,592.40, 14,389.29 and 3,351.71

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Solution

The fourth proportional to 9,592.40, 14,389.29 and 3,351.71 is: 5,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.40 : 14,389.29 = 3,351.71 : x
  2. Step 2: Convert to fraction form
    9,592.40/14,389.29 = 3,351.71/x
  3. Step 3: Cross multiply
    9,592.40x = 14,389.29 × 3,351.71
  4. Step 4: Simplify right side
    9,592.40x = 48,228,763.16
  5. Step 5: Solve for x
    x = 48,228,763.16/9,592.40
  6. Step 6: Final answer
    x = 5,027.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.