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Finding the Fourth Proportional to 9,427.14, 14,118.78 and 9,099.06

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Solution

The fourth proportional to 9,427.14, 14,118.78 and 9,099.06 is: 13,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.14 : 14,118.78 = 9,099.06 : x
  2. Step 2: Convert to fraction form
    9,427.14/14,118.78 = 9,099.06/x
  3. Step 3: Cross multiply
    9,427.14x = 14,118.78 × 9,099.06
  4. Step 4: Simplify right side
    9,427.14x = 128,467,626.35
  5. Step 5: Solve for x
    x = 128,467,626.35/9,427.14
  6. Step 6: Final answer
    x = 13,627.42

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1.5x scale

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.