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Finding the Fourth Proportional to 9,803.04, 14,702.98 and 3,562.80

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Solution

The fourth proportional to 9,803.04, 14,702.98 and 3,562.80 is: 5,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.04 : 14,702.98 = 3,562.80 : x
  2. Step 2: Convert to fraction form
    9,803.04/14,702.98 = 3,562.80/x
  3. Step 3: Cross multiply
    9,803.04x = 14,702.98 × 3,562.80
  4. Step 4: Simplify right side
    9,803.04x = 52,383,777.14
  5. Step 5: Solve for x
    x = 52,383,777.14/9,803.04
  6. Step 6: Final answer
    x = 5,343.63

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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.