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Finding the Fourth Proportional to 9,354.50, 12,905.94 and 5,999.12

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Solution

The fourth proportional to 9,354.50, 12,905.94 and 5,999.12 is: 8,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.50 : 12,905.94 = 5,999.12 : x
  2. Step 2: Convert to fraction form
    9,354.50/12,905.94 = 5,999.12/x
  3. Step 3: Cross multiply
    9,354.50x = 12,905.94 × 5,999.12
  4. Step 4: Simplify right side
    9,354.50x = 77,424,282.77
  5. Step 5: Solve for x
    x = 77,424,282.77/9,354.50
  6. Step 6: Final answer
    x = 8,276.69

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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.