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Finding the Fourth Proportional to 9,188.72, 12,684.23 and 6,951.30

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Solution

The fourth proportional to 9,188.72, 12,684.23 and 6,951.30 is: 9,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.72 : 12,684.23 = 6,951.30 : x
  2. Step 2: Convert to fraction form
    9,188.72/12,684.23 = 6,951.30/x
  3. Step 3: Cross multiply
    9,188.72x = 12,684.23 × 6,951.30
  4. Step 4: Simplify right side
    9,188.72x = 88,171,888.00
  5. Step 5: Solve for x
    x = 88,171,888.00/9,188.72
  6. Step 6: Final answer
    x = 9,595.67

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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.