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Finding the Fourth Proportional to 9,351.16, 14,029.02 and 3,111.16

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Solution

The fourth proportional to 9,351.16, 14,029.02 and 3,111.16 is: 4,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.16 : 14,029.02 = 3,111.16 : x
  2. Step 2: Convert to fraction form
    9,351.16/14,029.02 = 3,111.16/x
  3. Step 3: Cross multiply
    9,351.16x = 14,029.02 × 3,111.16
  4. Step 4: Simplify right side
    9,351.16x = 43,646,455.72
  5. Step 5: Solve for x
    x = 43,646,455.72/9,351.16
  6. Step 6: Final answer
    x = 4,667.49

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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.