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Finding the Fourth Proportional to 9,643.92, 14,463 and 3,402.76

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Solution

The fourth proportional to 9,643.92, 14,463 and 3,402.76 is: 5,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.92 : 14,463 = 3,402.76 : x
  2. Step 2: Convert to fraction form
    9,643.92/14,463 = 3,402.76/x
  3. Step 3: Cross multiply
    9,643.92x = 14,463 × 3,402.76
  4. Step 4: Simplify right side
    9,643.92x = 49,214,117.88
  5. Step 5: Solve for x
    x = 49,214,117.88/9,643.92
  6. Step 6: Final answer
    x = 5,103.12

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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.