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Finding the Fourth Proportional to 6,969.36, 10,454.32 and 3,072.88

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Solution

The fourth proportional to 6,969.36, 10,454.32 and 3,072.88 is: 4,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.36 : 10,454.32 = 3,072.88 : x
  2. Step 2: Convert to fraction form
    6,969.36/10,454.32 = 3,072.88/x
  3. Step 3: Cross multiply
    6,969.36x = 10,454.32 × 3,072.88
  4. Step 4: Simplify right side
    6,969.36x = 32,124,870.84
  5. Step 5: Solve for x
    x = 32,124,870.84/6,969.36
  6. Step 6: Final answer
    x = 4,609.44

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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.