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Finding the Fourth Proportional to 9,194.70, 12,688.32 and 5,002.96

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Solution

The fourth proportional to 9,194.70, 12,688.32 and 5,002.96 is: 6,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.70 : 12,688.32 = 5,002.96 : x
  2. Step 2: Convert to fraction form
    9,194.70/12,688.32 = 5,002.96/x
  3. Step 3: Cross multiply
    9,194.70x = 12,688.32 × 5,002.96
  4. Step 4: Simplify right side
    9,194.70x = 63,479,157.43
  5. Step 5: Solve for x
    x = 63,479,157.43/9,194.70
  6. Step 6: Final answer
    x = 6,903.89

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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.