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Finding the Fourth Proportional to 9,006.21, 13,492.44 and 5,297.36

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Solution

The fourth proportional to 9,006.21, 13,492.44 and 5,297.36 is: 7,936.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.21 : 13,492.44 = 5,297.36 : x
  2. Step 2: Convert to fraction form
    9,006.21/13,492.44 = 5,297.36/x
  3. Step 3: Cross multiply
    9,006.21x = 13,492.44 × 5,297.36
  4. Step 4: Simplify right side
    9,006.21x = 71,474,244.50
  5. Step 5: Solve for x
    x = 71,474,244.50/9,006.21
  6. Step 6: Final answer
    x = 7,936.11

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Why These Related Problems?

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