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Finding the Fourth Proportional to 9,150.48, 12,638.16 and 6,020.64

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Solution

The fourth proportional to 9,150.48, 12,638.16 and 6,020.64 is: 8,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.48 : 12,638.16 = 6,020.64 : x
  2. Step 2: Convert to fraction form
    9,150.48/12,638.16 = 6,020.64/x
  3. Step 3: Cross multiply
    9,150.48x = 12,638.16 × 6,020.64
  4. Step 4: Simplify right side
    9,150.48x = 76,089,811.62
  5. Step 5: Solve for x
    x = 76,089,811.62/9,150.48
  6. Step 6: Final answer
    x = 8,315.39

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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.