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Finding the Fourth Proportional to 9,199.72, 12,662.58 and 7,690.96

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Solution

The fourth proportional to 9,199.72, 12,662.58 and 7,690.96 is: 10,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.72 : 12,662.58 = 7,690.96 : x
  2. Step 2: Convert to fraction form
    9,199.72/12,662.58 = 7,690.96/x
  3. Step 3: Cross multiply
    9,199.72x = 12,662.58 × 7,690.96
  4. Step 4: Simplify right side
    9,199.72x = 97,387,396.28
  5. Step 5: Solve for x
    x = 97,387,396.28/9,199.72
  6. Step 6: Final answer
    x = 10,585.91

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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.