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Finding the Fourth Proportional to 9,790.20, 14,667.48 and 8,740.44

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Solution

The fourth proportional to 9,790.20, 14,667.48 and 8,740.44 is: 13,094.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.20 : 14,667.48 = 8,740.44 : x
  2. Step 2: Convert to fraction form
    9,790.20/14,667.48 = 8,740.44/x
  3. Step 3: Cross multiply
    9,790.20x = 14,667.48 × 8,740.44
  4. Step 4: Simplify right side
    9,790.20x = 128,200,228.89
  5. Step 5: Solve for x
    x = 128,200,228.89/9,790.20
  6. Step 6: Final answer
    x = 13,094.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.