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Finding the Fourth Proportional to 6,072.56, 9,106.80 and 2,323.46

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Solution

The fourth proportional to 6,072.56, 9,106.80 and 2,323.46 is: 3,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.56 : 9,106.80 = 2,323.46 : x
  2. Step 2: Convert to fraction form
    6,072.56/9,106.80 = 2,323.46/x
  3. Step 3: Cross multiply
    6,072.56x = 9,106.80 × 2,323.46
  4. Step 4: Simplify right side
    6,072.56x = 21,159,285.53
  5. Step 5: Solve for x
    x = 21,159,285.53/6,072.56
  6. Step 6: Final answer
    x = 3,484.41

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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.