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Finding the Fourth Proportional to 9,430.18, 13,014.22 and 5,238.42

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Solution

The fourth proportional to 9,430.18, 13,014.22 and 5,238.42 is: 7,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.18 : 13,014.22 = 5,238.42 : x
  2. Step 2: Convert to fraction form
    9,430.18/13,014.22 = 5,238.42/x
  3. Step 3: Cross multiply
    9,430.18x = 13,014.22 × 5,238.42
  4. Step 4: Simplify right side
    9,430.18x = 68,173,950.33
  5. Step 5: Solve for x
    x = 68,173,950.33/9,430.18
  6. Step 6: Final answer
    x = 7,229.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.