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Finding the Fourth Proportional to 9,375.36, 12,903.48 and 8,034

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Solution

The fourth proportional to 9,375.36, 12,903.48 and 8,034 is: 11,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.36 : 12,903.48 = 8,034 : x
  2. Step 2: Convert to fraction form
    9,375.36/12,903.48 = 8,034/x
  3. Step 3: Cross multiply
    9,375.36x = 12,903.48 × 8,034
  4. Step 4: Simplify right side
    9,375.36x = 103,666,558.32
  5. Step 5: Solve for x
    x = 103,666,558.32/9,375.36
  6. Step 6: Final answer
    x = 11,057.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.