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Finding the Fourth Proportional to 9,690.12, 13,370.22 and 6,157.80

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Solution

The fourth proportional to 9,690.12, 13,370.22 and 6,157.80 is: 8,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.12 : 13,370.22 = 6,157.80 : x
  2. Step 2: Convert to fraction form
    9,690.12/13,370.22 = 6,157.80/x
  3. Step 3: Cross multiply
    9,690.12x = 13,370.22 × 6,157.80
  4. Step 4: Simplify right side
    9,690.12x = 82,331,140.72
  5. Step 5: Solve for x
    x = 82,331,140.72/9,690.12
  6. Step 6: Final answer
    x = 8,496.40

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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.