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Finding the Fourth Proportional to 9,246.63, 12,759.94 and 5,667.56

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Solution

The fourth proportional to 9,246.63, 12,759.94 and 5,667.56 is: 7,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.63 : 12,759.94 = 5,667.56 : x
  2. Step 2: Convert to fraction form
    9,246.63/12,759.94 = 5,667.56/x
  3. Step 3: Cross multiply
    9,246.63x = 12,759.94 × 5,667.56
  4. Step 4: Simplify right side
    9,246.63x = 72,317,725.55
  5. Step 5: Solve for x
    x = 72,317,725.55/9,246.63
  6. Step 6: Final answer
    x = 7,820.98

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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.