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Finding the Fourth Proportional to 9,634.50, 13,297.86 and 6,271.47

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Solution

The fourth proportional to 9,634.50, 13,297.86 and 6,271.47 is: 8,656.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.50 : 13,297.86 = 6,271.47 : x
  2. Step 2: Convert to fraction form
    9,634.50/13,297.86 = 6,271.47/x
  3. Step 3: Cross multiply
    9,634.50x = 13,297.86 × 6,271.47
  4. Step 4: Simplify right side
    9,634.50x = 83,397,130.05
  5. Step 5: Solve for x
    x = 83,397,130.05/9,634.50
  6. Step 6: Final answer
    x = 8,656.09

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