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Finding the Fourth Proportional to 8,494.14, 12,741.08 and 5,984.94

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Solution

The fourth proportional to 8,494.14, 12,741.08 and 5,984.94 is: 8,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.14 : 12,741.08 = 5,984.94 : x
  2. Step 2: Convert to fraction form
    8,494.14/12,741.08 = 5,984.94/x
  3. Step 3: Cross multiply
    8,494.14x = 12,741.08 × 5,984.94
  4. Step 4: Simplify right side
    8,494.14x = 76,254,599.34
  5. Step 5: Solve for x
    x = 76,254,599.34/8,494.14
  6. Step 6: Final answer
    x = 8,977.32

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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.