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Finding the Fourth Proportional to 9,763.57, 14,633.61 and 5,076.91

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Solution

The fourth proportional to 9,763.57, 14,633.61 and 5,076.91 is: 7,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.57 : 14,633.61 = 5,076.91 : x
  2. Step 2: Convert to fraction form
    9,763.57/14,633.61 = 5,076.91/x
  3. Step 3: Cross multiply
    9,763.57x = 14,633.61 × 5,076.91
  4. Step 4: Simplify right side
    9,763.57x = 74,293,520.95
  5. Step 5: Solve for x
    x = 74,293,520.95/9,763.57
  6. Step 6: Final answer
    x = 7,609.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.