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Finding the Fourth Proportional to 9,803.19, 14,703.24 and 8,147.94

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Solution

The fourth proportional to 9,803.19, 14,703.24 and 8,147.94 is: 12,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.19 : 14,703.24 = 8,147.94 : x
  2. Step 2: Convert to fraction form
    9,803.19/14,703.24 = 8,147.94/x
  3. Step 3: Cross multiply
    9,803.19x = 14,703.24 × 8,147.94
  4. Step 4: Simplify right side
    9,803.19x = 119,801,154.08
  5. Step 5: Solve for x
    x = 119,801,154.08/9,803.19
  6. Step 6: Final answer
    x = 12,220.63

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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.