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Finding the Fourth Proportional to 9,803.93, 14,705.66 and 2,408.38

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Solution

The fourth proportional to 9,803.93, 14,705.66 and 2,408.38 is: 3,612.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.93 : 14,705.66 = 2,408.38 : x
  2. Step 2: Convert to fraction form
    9,803.93/14,705.66 = 2,408.38/x
  3. Step 3: Cross multiply
    9,803.93x = 14,705.66 × 2,408.38
  4. Step 4: Simplify right side
    9,803.93x = 35,416,743.90
  5. Step 5: Solve for x
    x = 35,416,743.90/9,803.93
  6. Step 6: Final answer
    x = 3,612.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.