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Finding the Fourth Proportional to 9,267.10, 13,893.68 and 3,023.40

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Solution

The fourth proportional to 9,267.10, 13,893.68 and 3,023.40 is: 4,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.10 : 13,893.68 = 3,023.40 : x
  2. Step 2: Convert to fraction form
    9,267.10/13,893.68 = 3,023.40/x
  3. Step 3: Cross multiply
    9,267.10x = 13,893.68 × 3,023.40
  4. Step 4: Simplify right side
    9,267.10x = 42,006,152.11
  5. Step 5: Solve for x
    x = 42,006,152.11/9,267.10
  6. Step 6: Final answer
    x = 4,532.83

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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.