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Finding the Fourth Proportional to 9,321, 12,863.01 and 5,129.28

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Solution

The fourth proportional to 9,321, 12,863.01 and 5,129.28 is: 7,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321 : 12,863.01 = 5,129.28 : x
  2. Step 2: Convert to fraction form
    9,321/12,863.01 = 5,129.28/x
  3. Step 3: Cross multiply
    9,321x = 12,863.01 × 5,129.28
  4. Step 4: Simplify right side
    9,321x = 65,977,979.93
  5. Step 5: Solve for x
    x = 65,977,979.93/9,321
  6. Step 6: Final answer
    x = 7,078.42

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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.