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Finding the Fourth Proportional to 7,056.46, 9,737.96 and 4,072.42

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Solution

The fourth proportional to 7,056.46, 9,737.96 and 4,072.42 is: 5,619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.46 : 9,737.96 = 4,072.42 : x
  2. Step 2: Convert to fraction form
    7,056.46/9,737.96 = 4,072.42/x
  3. Step 3: Cross multiply
    7,056.46x = 9,737.96 × 4,072.42
  4. Step 4: Simplify right side
    7,056.46x = 39,657,063.06
  5. Step 5: Solve for x
    x = 39,657,063.06/7,056.46
  6. Step 6: Final answer
    x = 5,619.97

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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.