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Finding the Fourth Proportional to 9,036.94, 12,478.67 and 5,685.36

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Solution

The fourth proportional to 9,036.94, 12,478.67 and 5,685.36 is: 7,850.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036.94 : 12,478.67 = 5,685.36 : x
  2. Step 2: Convert to fraction form
    9,036.94/12,478.67 = 5,685.36/x
  3. Step 3: Cross multiply
    9,036.94x = 12,478.67 × 5,685.36
  4. Step 4: Simplify right side
    9,036.94x = 70,945,731.27
  5. Step 5: Solve for x
    x = 70,945,731.27/9,036.94
  6. Step 6: Final answer
    x = 7,850.64

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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.