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Finding the Fourth Proportional to 9,548.81, 13,175.32 and 5,771.22

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Solution

The fourth proportional to 9,548.81, 13,175.32 and 5,771.22 is: 7,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.81 : 13,175.32 = 5,771.22 : x
  2. Step 2: Convert to fraction form
    9,548.81/13,175.32 = 5,771.22/x
  3. Step 3: Cross multiply
    9,548.81x = 13,175.32 × 5,771.22
  4. Step 4: Simplify right side
    9,548.81x = 76,037,670.29
  5. Step 5: Solve for x
    x = 76,037,670.29/9,548.81
  6. Step 6: Final answer
    x = 7,963.05

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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.