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Finding the Fourth Proportional to 9,874.83, 14,812.23 and 4,939.50

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Solution

The fourth proportional to 9,874.83, 14,812.23 and 4,939.50 is: 7,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.83 : 14,812.23 = 4,939.50 : x
  2. Step 2: Convert to fraction form
    9,874.83/14,812.23 = 4,939.50/x
  3. Step 3: Cross multiply
    9,874.83x = 14,812.23 × 4,939.50
  4. Step 4: Simplify right side
    9,874.83x = 73,165,010.09
  5. Step 5: Solve for x
    x = 73,165,010.09/9,874.83
  6. Step 6: Final answer
    x = 7,409.24

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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.