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Finding the Fourth Proportional to 9,763.00, 14,638.34 and 8,282.74

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Solution

The fourth proportional to 9,763.00, 14,638.34 and 8,282.74 is: 12,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.00 : 14,638.34 = 8,282.74 : x
  2. Step 2: Convert to fraction form
    9,763.00/14,638.34 = 8,282.74/x
  3. Step 3: Cross multiply
    9,763.00x = 14,638.34 × 8,282.74
  4. Step 4: Simplify right side
    9,763.00x = 121,245,548.36
  5. Step 5: Solve for x
    x = 121,245,548.36/9,763.00
  6. Step 6: Final answer
    x = 12,418.89

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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.