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Finding the Fourth Proportional to 9,026.64, 12,452.94 and 6,005.34

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Solution

The fourth proportional to 9,026.64, 12,452.94 and 6,005.34 is: 8,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.64 : 12,452.94 = 6,005.34 : x
  2. Step 2: Convert to fraction form
    9,026.64/12,452.94 = 6,005.34/x
  3. Step 3: Cross multiply
    9,026.64x = 12,452.94 × 6,005.34
  4. Step 4: Simplify right side
    9,026.64x = 74,784,138.70
  5. Step 5: Solve for x
    x = 74,784,138.70/9,026.64
  6. Step 6: Final answer
    x = 8,284.83

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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.