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Finding the Fourth Proportional to 9,297.14, 12,830.06 and 5,105.39

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Solution

The fourth proportional to 9,297.14, 12,830.06 and 5,105.39 is: 7,045.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.14 : 12,830.06 = 5,105.39 : x
  2. Step 2: Convert to fraction form
    9,297.14/12,830.06 = 5,105.39/x
  3. Step 3: Cross multiply
    9,297.14x = 12,830.06 × 5,105.39
  4. Step 4: Simplify right side
    9,297.14x = 65,502,434.50
  5. Step 5: Solve for x
    x = 65,502,434.50/9,297.14
  6. Step 6: Final answer
    x = 7,045.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.