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Finding the Fourth Proportional to 9,351.86, 14,023.68 and 4,968.29

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Solution

The fourth proportional to 9,351.86, 14,023.68 and 4,968.29 is: 7,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.86 : 14,023.68 = 4,968.29 : x
  2. Step 2: Convert to fraction form
    9,351.86/14,023.68 = 4,968.29/x
  3. Step 3: Cross multiply
    9,351.86x = 14,023.68 × 4,968.29
  4. Step 4: Simplify right side
    9,351.86x = 69,673,674.60
  5. Step 5: Solve for x
    x = 69,673,674.60/9,351.86
  6. Step 6: Final answer
    x = 7,450.25

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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.