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Finding the Fourth Proportional to 9,188.45, 12,680.19 and 6,884.76

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Solution

The fourth proportional to 9,188.45, 12,680.19 and 6,884.76 is: 9,501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.45 : 12,680.19 = 6,884.76 : x
  2. Step 2: Convert to fraction form
    9,188.45/12,680.19 = 6,884.76/x
  3. Step 3: Cross multiply
    9,188.45x = 12,680.19 × 6,884.76
  4. Step 4: Simplify right side
    9,188.45x = 87,299,967.08
  5. Step 5: Solve for x
    x = 87,299,967.08/9,188.45
  6. Step 6: Final answer
    x = 9,501.06

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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.