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Finding the Fourth Proportional to 9,803.80, 14,702.54 and 3,228.42

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Solution

The fourth proportional to 9,803.80, 14,702.54 and 3,228.42 is: 4,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.80 : 14,702.54 = 3,228.42 : x
  2. Step 2: Convert to fraction form
    9,803.80/14,702.54 = 3,228.42/x
  3. Step 3: Cross multiply
    9,803.80x = 14,702.54 × 3,228.42
  4. Step 4: Simplify right side
    9,803.80x = 47,465,974.19
  5. Step 5: Solve for x
    x = 47,465,974.19/9,803.80
  6. Step 6: Final answer
    x = 4,841.59

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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.