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Finding the Fourth Proportional to 8,047.12, 12,054.07 and 5,969.47

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Solution

The fourth proportional to 8,047.12, 12,054.07 and 5,969.47 is: 8,941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.12 : 12,054.07 = 5,969.47 : x
  2. Step 2: Convert to fraction form
    8,047.12/12,054.07 = 5,969.47/x
  3. Step 3: Cross multiply
    8,047.12x = 12,054.07 × 5,969.47
  4. Step 4: Simplify right side
    8,047.12x = 71,956,319.13
  5. Step 5: Solve for x
    x = 71,956,319.13/8,047.12
  6. Step 6: Final answer
    x = 8,941.88

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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.