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Finding the Fourth Proportional to 9,527.45, 13,146 and 6,169.79

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Solution

The fourth proportional to 9,527.45, 13,146 and 6,169.79 is: 8,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.45 : 13,146 = 6,169.79 : x
  2. Step 2: Convert to fraction form
    9,527.45/13,146 = 6,169.79/x
  3. Step 3: Cross multiply
    9,527.45x = 13,146 × 6,169.79
  4. Step 4: Simplify right side
    9,527.45x = 81,107,993.61
  5. Step 5: Solve for x
    x = 81,107,993.61/9,527.45
  6. Step 6: Final answer
    x = 8,513.09

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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.