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Finding the Fourth Proportional to 8,828.84, 13,251.90 and 6,009

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Solution

The fourth proportional to 8,828.84, 13,251.90 and 6,009 is: 9,019.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,828.84 : 13,251.90 = 6,009 : x
  2. Step 2: Convert to fraction form
    8,828.84/13,251.90 = 6,009/x
  3. Step 3: Cross multiply
    8,828.84x = 13,251.90 × 6,009
  4. Step 4: Simplify right side
    8,828.84x = 79,630,667.10
  5. Step 5: Solve for x
    x = 79,630,667.10/8,828.84
  6. Step 6: Final answer
    x = 9,019.38

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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.