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Finding the Fourth Proportional to 9,818.12, 14,724.04 and 3,243.08

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Solution

The fourth proportional to 9,818.12, 14,724.04 and 3,243.08 is: 4,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.12 : 14,724.04 = 3,243.08 : x
  2. Step 2: Convert to fraction form
    9,818.12/14,724.04 = 3,243.08/x
  3. Step 3: Cross multiply
    9,818.12x = 14,724.04 × 3,243.08
  4. Step 4: Simplify right side
    9,818.12x = 47,751,239.64
  5. Step 5: Solve for x
    x = 47,751,239.64/9,818.12
  6. Step 6: Final answer
    x = 4,863.58

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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.