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Finding the Fourth Proportional to 9,225.34, 13,846.29 and 4,297.76

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Solution

The fourth proportional to 9,225.34, 13,846.29 and 4,297.76 is: 6,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.34 : 13,846.29 = 4,297.76 : x
  2. Step 2: Convert to fraction form
    9,225.34/13,846.29 = 4,297.76/x
  3. Step 3: Cross multiply
    9,225.34x = 13,846.29 × 4,297.76
  4. Step 4: Simplify right side
    9,225.34x = 59,508,022.06
  5. Step 5: Solve for x
    x = 59,508,022.06/9,225.34
  6. Step 6: Final answer
    x = 6,450.49

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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.