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Finding the Fourth Proportional to 8,934.84, 13,406.73 and 4,008

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Solution

The fourth proportional to 8,934.84, 13,406.73 and 4,008 is: 6,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934.84 : 13,406.73 = 4,008 : x
  2. Step 2: Convert to fraction form
    8,934.84/13,406.73 = 4,008/x
  3. Step 3: Cross multiply
    8,934.84x = 13,406.73 × 4,008
  4. Step 4: Simplify right side
    8,934.84x = 53,734,173.84
  5. Step 5: Solve for x
    x = 53,734,173.84/8,934.84
  6. Step 6: Final answer
    x = 6,014.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.