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Finding the Fourth Proportional to 8,009.84, 12,014.62 and 3,624.23

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Solution

The fourth proportional to 8,009.84, 12,014.62 and 3,624.23 is: 5,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.84 : 12,014.62 = 3,624.23 : x
  2. Step 2: Convert to fraction form
    8,009.84/12,014.62 = 3,624.23/x
  3. Step 3: Cross multiply
    8,009.84x = 12,014.62 × 3,624.23
  4. Step 4: Simplify right side
    8,009.84x = 43,543,746.24
  5. Step 5: Solve for x
    x = 43,543,746.24/8,009.84
  6. Step 6: Final answer
    x = 5,436.28

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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.