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Finding the Fourth Proportional to 9,803.76, 14,707.93 and 3,229.69

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Solution

The fourth proportional to 9,803.76, 14,707.93 and 3,229.69 is: 4,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.76 : 14,707.93 = 3,229.69 : x
  2. Step 2: Convert to fraction form
    9,803.76/14,707.93 = 3,229.69/x
  3. Step 3: Cross multiply
    9,803.76x = 14,707.93 × 3,229.69
  4. Step 4: Simplify right side
    9,803.76x = 47,502,054.44
  5. Step 5: Solve for x
    x = 47,502,054.44/9,803.76
  6. Step 6: Final answer
    x = 4,845.29

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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.