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Finding the Fourth Proportional to 9,370.32, 14,064 and 4,991.46

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Solution

The fourth proportional to 9,370.32, 14,064 and 4,991.46 is: 7,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370.32 : 14,064 = 4,991.46 : x
  2. Step 2: Convert to fraction form
    9,370.32/14,064 = 4,991.46/x
  3. Step 3: Cross multiply
    9,370.32x = 14,064 × 4,991.46
  4. Step 4: Simplify right side
    9,370.32x = 70,199,893.44
  5. Step 5: Solve for x
    x = 70,199,893.44/9,370.32
  6. Step 6: Final answer
    x = 7,491.73

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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.