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Finding the Fourth Proportional to 9,800.49, 14,690.72 and 4,249.16

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Solution

The fourth proportional to 9,800.49, 14,690.72 and 4,249.16 is: 6,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.49 : 14,690.72 = 4,249.16 : x
  2. Step 2: Convert to fraction form
    9,800.49/14,690.72 = 4,249.16/x
  3. Step 3: Cross multiply
    9,800.49x = 14,690.72 × 4,249.16
  4. Step 4: Simplify right side
    9,800.49x = 62,423,188.15
  5. Step 5: Solve for x
    x = 62,423,188.15/9,800.49
  6. Step 6: Final answer
    x = 6,369.39

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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.