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Finding the Fourth Proportional to 9,745.04, 14,619.09 and 4,199.96

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Solution

The fourth proportional to 9,745.04, 14,619.09 and 4,199.96 is: 6,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.04 : 14,619.09 = 4,199.96 : x
  2. Step 2: Convert to fraction form
    9,745.04/14,619.09 = 4,199.96/x
  3. Step 3: Cross multiply
    9,745.04x = 14,619.09 × 4,199.96
  4. Step 4: Simplify right side
    9,745.04x = 61,399,645.53
  5. Step 5: Solve for x
    x = 61,399,645.53/9,745.04
  6. Step 6: Final answer
    x = 6,300.60

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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.