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Finding the Fourth Proportional to 9,191, 12,679.64 and 7,193.54

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Solution

The fourth proportional to 9,191, 12,679.64 and 7,193.54 is: 9,924.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191 : 12,679.64 = 7,193.54 : x
  2. Step 2: Convert to fraction form
    9,191/12,679.64 = 7,193.54/x
  3. Step 3: Cross multiply
    9,191x = 12,679.64 × 7,193.54
  4. Step 4: Simplify right side
    9,191x = 91,211,497.53
  5. Step 5: Solve for x
    x = 91,211,497.53/9,191
  6. Step 6: Final answer
    x = 9,924.00

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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.