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Finding the Fourth Proportional to 9,527.42, 13,143.42 and 6,171.32

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Solution

The fourth proportional to 9,527.42, 13,143.42 and 6,171.32 is: 8,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.42 : 13,143.42 = 6,171.32 : x
  2. Step 2: Convert to fraction form
    9,527.42/13,143.42 = 6,171.32/x
  3. Step 3: Cross multiply
    9,527.42x = 13,143.42 × 6,171.32
  4. Step 4: Simplify right side
    9,527.42x = 81,112,185.00
  5. Step 5: Solve for x
    x = 81,112,185.00/9,527.42
  6. Step 6: Final answer
    x = 8,513.56

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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.