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Finding the Fourth Proportional to 9,494.08, 14,181.92 and 7,033.70

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Solution

The fourth proportional to 9,494.08, 14,181.92 and 7,033.70 is: 10,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.08 : 14,181.92 = 7,033.70 : x
  2. Step 2: Convert to fraction form
    9,494.08/14,181.92 = 7,033.70/x
  3. Step 3: Cross multiply
    9,494.08x = 14,181.92 × 7,033.70
  4. Step 4: Simplify right side
    9,494.08x = 99,751,397.37
  5. Step 5: Solve for x
    x = 99,751,397.37/9,494.08
  6. Step 6: Final answer
    x = 10,506.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.