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Finding the Fourth Proportional to 9,763.13, 14,644.87 and 3,523.61

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Solution

The fourth proportional to 9,763.13, 14,644.87 and 3,523.61 is: 5,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.13 : 14,644.87 = 3,523.61 : x
  2. Step 2: Convert to fraction form
    9,763.13/14,644.87 = 3,523.61/x
  3. Step 3: Cross multiply
    9,763.13x = 14,644.87 × 3,523.61
  4. Step 4: Simplify right side
    9,763.13x = 51,602,728.35
  5. Step 5: Solve for x
    x = 51,602,728.35/9,763.13
  6. Step 6: Final answer
    x = 5,285.47

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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.