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Finding the Fourth Proportional to 9,868.68, 14,804.04 and 3,293.12

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Solution

The fourth proportional to 9,868.68, 14,804.04 and 3,293.12 is: 4,940.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.68 : 14,804.04 = 3,293.12 : x
  2. Step 2: Convert to fraction form
    9,868.68/14,804.04 = 3,293.12/x
  3. Step 3: Cross multiply
    9,868.68x = 14,804.04 × 3,293.12
  4. Step 4: Simplify right side
    9,868.68x = 48,751,480.20
  5. Step 5: Solve for x
    x = 48,751,480.20/9,868.68
  6. Step 6: Final answer
    x = 4,940.02

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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.