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Finding the Fourth Proportional to 9,349.02, 14,019.03 and 3,421.80

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Solution

The fourth proportional to 9,349.02, 14,019.03 and 3,421.80 is: 5,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.02 : 14,019.03 = 3,421.80 : x
  2. Step 2: Convert to fraction form
    9,349.02/14,019.03 = 3,421.80/x
  3. Step 3: Cross multiply
    9,349.02x = 14,019.03 × 3,421.80
  4. Step 4: Simplify right side
    9,349.02x = 47,970,316.85
  5. Step 5: Solve for x
    x = 47,970,316.85/9,349.02
  6. Step 6: Final answer
    x = 5,131.05

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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.