Home / 9,784.09-14,676.96-2,764.13

Finding the Fourth Proportional to 9,784.09, 14,676.96 and 2,764.13

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Solution

The fourth proportional to 9,784.09, 14,676.96 and 2,764.13 is: 4,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.09 : 14,676.96 = 2,764.13 : x
  2. Step 2: Convert to fraction form
    9,784.09/14,676.96 = 2,764.13/x
  3. Step 3: Cross multiply
    9,784.09x = 14,676.96 × 2,764.13
  4. Step 4: Simplify right side
    9,784.09x = 40,569,025.44
  5. Step 5: Solve for x
    x = 40,569,025.44/9,784.09
  6. Step 6: Final answer
    x = 4,146.43

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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.