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Finding the Fourth Proportional to 9,387.44, 14,072.06 and 5,223.64

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Solution

The fourth proportional to 9,387.44, 14,072.06 and 5,223.64 is: 7,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.44 : 14,072.06 = 5,223.64 : x
  2. Step 2: Convert to fraction form
    9,387.44/14,072.06 = 5,223.64/x
  3. Step 3: Cross multiply
    9,387.44x = 14,072.06 × 5,223.64
  4. Step 4: Simplify right side
    9,387.44x = 73,507,375.50
  5. Step 5: Solve for x
    x = 73,507,375.50/9,387.44
  6. Step 6: Final answer
    x = 7,830.40

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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.