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Finding the Fourth Proportional to 9,803.16, 14,704.67 and 3,959.69

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Solution

The fourth proportional to 9,803.16, 14,704.67 and 3,959.69 is: 5,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.16 : 14,704.67 = 3,959.69 : x
  2. Step 2: Convert to fraction form
    9,803.16/14,704.67 = 3,959.69/x
  3. Step 3: Cross multiply
    9,803.16x = 14,704.67 × 3,959.69
  4. Step 4: Simplify right side
    9,803.16x = 58,225,871.13
  5. Step 5: Solve for x
    x = 58,225,871.13/9,803.16
  6. Step 6: Final answer
    x = 5,939.50

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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.