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Finding the Fourth Proportional to 9,372, 14,058.14 and 2,446.50

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Solution

The fourth proportional to 9,372, 14,058.14 and 2,446.50 is: 3,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,372 : 14,058.14 = 2,446.50 : x
  2. Step 2: Convert to fraction form
    9,372/14,058.14 = 2,446.50/x
  3. Step 3: Cross multiply
    9,372x = 14,058.14 × 2,446.50
  4. Step 4: Simplify right side
    9,372x = 34,393,239.51
  5. Step 5: Solve for x
    x = 34,393,239.51/9,372
  6. Step 6: Final answer
    x = 3,669.79

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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.