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Finding the Fourth Proportional to 9,200.72, 12,698.12 and 6,070.96

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Solution

The fourth proportional to 9,200.72, 12,698.12 and 6,070.96 is: 8,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.72 : 12,698.12 = 6,070.96 : x
  2. Step 2: Convert to fraction form
    9,200.72/12,698.12 = 6,070.96/x
  3. Step 3: Cross multiply
    9,200.72x = 12,698.12 × 6,070.96
  4. Step 4: Simplify right side
    9,200.72x = 77,089,778.60
  5. Step 5: Solve for x
    x = 77,089,778.60/9,200.72
  6. Step 6: Final answer
    x = 8,378.67

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