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Finding the Fourth Proportional to 9,568.98, 14,353.40 and 3,328.98

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Solution

The fourth proportional to 9,568.98, 14,353.40 and 3,328.98 is: 4,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.98 : 14,353.40 = 3,328.98 : x
  2. Step 2: Convert to fraction form
    9,568.98/14,353.40 = 3,328.98/x
  3. Step 3: Cross multiply
    9,568.98x = 14,353.40 × 3,328.98
  4. Step 4: Simplify right side
    9,568.98x = 47,782,164.89
  5. Step 5: Solve for x
    x = 47,782,164.89/9,568.98
  6. Step 6: Final answer
    x = 4,993.44

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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.