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Finding the Fourth Proportional to 9,531.35, 14,297.04 and 5,157.35

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Solution

The fourth proportional to 9,531.35, 14,297.04 and 5,157.35 is: 7,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.35 : 14,297.04 = 5,157.35 : x
  2. Step 2: Convert to fraction form
    9,531.35/14,297.04 = 5,157.35/x
  3. Step 3: Cross multiply
    9,531.35x = 14,297.04 × 5,157.35
  4. Step 4: Simplify right side
    9,531.35x = 73,734,767.76
  5. Step 5: Solve for x
    x = 73,734,767.76/9,531.35
  6. Step 6: Final answer
    x = 7,736.03

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