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Finding the Fourth Proportional to 9,627.42, 14,452.02 and 6,467.16

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Solution

The fourth proportional to 9,627.42, 14,452.02 and 6,467.16 is: 9,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.42 : 14,452.02 = 6,467.16 : x
  2. Step 2: Convert to fraction form
    9,627.42/14,452.02 = 6,467.16/x
  3. Step 3: Cross multiply
    9,627.42x = 14,452.02 × 6,467.16
  4. Step 4: Simplify right side
    9,627.42x = 93,463,525.66
  5. Step 5: Solve for x
    x = 93,463,525.66/9,627.42
  6. Step 6: Final answer
    x = 9,708.06

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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.