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Finding the Fourth Proportional to 9,803.68, 14,705.29 and 2,408.12

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Solution

The fourth proportional to 9,803.68, 14,705.29 and 2,408.12 is: 3,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.68 : 14,705.29 = 2,408.12 : x
  2. Step 2: Convert to fraction form
    9,803.68/14,705.29 = 2,408.12/x
  3. Step 3: Cross multiply
    9,803.68x = 14,705.29 × 2,408.12
  4. Step 4: Simplify right side
    9,803.68x = 35,412,156.75
  5. Step 5: Solve for x
    x = 35,412,156.75/9,803.68
  6. Step 6: Final answer
    x = 3,612.13

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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.