Home / 9,723-14,576.76-3,878.04

Finding the Fourth Proportional to 9,723, 14,576.76 and 3,878.04

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Solution

The fourth proportional to 9,723, 14,576.76 and 3,878.04 is: 5,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723 : 14,576.76 = 3,878.04 : x
  2. Step 2: Convert to fraction form
    9,723/14,576.76 = 3,878.04/x
  3. Step 3: Cross multiply
    9,723x = 14,576.76 × 3,878.04
  4. Step 4: Simplify right side
    9,723x = 56,529,258.35
  5. Step 5: Solve for x
    x = 56,529,258.35/9,723
  6. Step 6: Final answer
    x = 5,813.97

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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.