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Finding the Fourth Proportional to 9,204.77, 12,693.48 and 5,667.30

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Solution

The fourth proportional to 9,204.77, 12,693.48 and 5,667.30 is: 7,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.77 : 12,693.48 = 5,667.30 : x
  2. Step 2: Convert to fraction form
    9,204.77/12,693.48 = 5,667.30/x
  3. Step 3: Cross multiply
    9,204.77x = 12,693.48 × 5,667.30
  4. Step 4: Simplify right side
    9,204.77x = 71,937,737.95
  5. Step 5: Solve for x
    x = 71,937,737.95/9,204.77
  6. Step 6: Final answer
    x = 7,815.27

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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.