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Finding the Fourth Proportional to 9,906.02, 14,849.03 and 6,210.84

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Solution

The fourth proportional to 9,906.02, 14,849.03 and 6,210.84 is: 9,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.02 : 14,849.03 = 6,210.84 : x
  2. Step 2: Convert to fraction form
    9,906.02/14,849.03 = 6,210.84/x
  3. Step 3: Cross multiply
    9,906.02x = 14,849.03 × 6,210.84
  4. Step 4: Simplify right side
    9,906.02x = 92,224,949.49
  5. Step 5: Solve for x
    x = 92,224,949.49/9,906.02
  6. Step 6: Final answer
    x = 9,309.99

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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.