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Finding the Fourth Proportional to 9,144.48, 13,698.32 and 4,207.20

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Solution

The fourth proportional to 9,144.48, 13,698.32 and 4,207.20 is: 6,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.48 : 13,698.32 = 4,207.20 : x
  2. Step 2: Convert to fraction form
    9,144.48/13,698.32 = 4,207.20/x
  3. Step 3: Cross multiply
    9,144.48x = 13,698.32 × 4,207.20
  4. Step 4: Simplify right side
    9,144.48x = 57,631,571.90
  5. Step 5: Solve for x
    x = 57,631,571.90/9,144.48
  6. Step 6: Final answer
    x = 6,302.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.