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Finding the Fourth Proportional to 9,514.31, 14,271.12 and 2,940.50

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Solution

The fourth proportional to 9,514.31, 14,271.12 and 2,940.50 is: 4,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.31 : 14,271.12 = 2,940.50 : x
  2. Step 2: Convert to fraction form
    9,514.31/14,271.12 = 2,940.50/x
  3. Step 3: Cross multiply
    9,514.31x = 14,271.12 × 2,940.50
  4. Step 4: Simplify right side
    9,514.31x = 41,964,264.04
  5. Step 5: Solve for x
    x = 41,964,264.04/9,514.31
  6. Step 6: Final answer
    x = 4,410.65

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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.