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Finding the Fourth Proportional to 8,989.14, 12,409.40 and 6,967.99

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Solution

The fourth proportional to 8,989.14, 12,409.40 and 6,967.99 is: 9,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,989.14 : 12,409.40 = 6,967.99 : x
  2. Step 2: Convert to fraction form
    8,989.14/12,409.40 = 6,967.99/x
  3. Step 3: Cross multiply
    8,989.14x = 12,409.40 × 6,967.99
  4. Step 4: Simplify right side
    8,989.14x = 86,468,608.04
  5. Step 5: Solve for x
    x = 86,468,608.04/8,989.14
  6. Step 6: Final answer
    x = 9,619.23

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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.