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Finding the Fourth Proportional to 9,758.80, 14,639.22 and 2,833.30

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Solution

The fourth proportional to 9,758.80, 14,639.22 and 2,833.30 is: 4,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.80 : 14,639.22 = 2,833.30 : x
  2. Step 2: Convert to fraction form
    9,758.80/14,639.22 = 2,833.30/x
  3. Step 3: Cross multiply
    9,758.80x = 14,639.22 × 2,833.30
  4. Step 4: Simplify right side
    9,758.80x = 41,477,302.03
  5. Step 5: Solve for x
    x = 41,477,302.03/9,758.80
  6. Step 6: Final answer
    x = 4,250.25

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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.