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Finding the Fourth Proportional to 9,534, 14,296.44 and 2,960.24

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Solution

The fourth proportional to 9,534, 14,296.44 and 2,960.24 is: 4,438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534 : 14,296.44 = 2,960.24 : x
  2. Step 2: Convert to fraction form
    9,534/14,296.44 = 2,960.24/x
  3. Step 3: Cross multiply
    9,534x = 14,296.44 × 2,960.24
  4. Step 4: Simplify right side
    9,534x = 42,320,893.55
  5. Step 5: Solve for x
    x = 42,320,893.55/9,534
  6. Step 6: Final answer
    x = 4,438.94

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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.