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Finding the Fourth Proportional to 7,056.50, 9,738.21 and 4,576.82

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Solution

The fourth proportional to 7,056.50, 9,738.21 and 4,576.82 is: 6,316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.50 : 9,738.21 = 4,576.82 : x
  2. Step 2: Convert to fraction form
    7,056.50/9,738.21 = 4,576.82/x
  3. Step 3: Cross multiply
    7,056.50x = 9,738.21 × 4,576.82
  4. Step 4: Simplify right side
    7,056.50x = 44,570,034.29
  5. Step 5: Solve for x
    x = 44,570,034.29/7,056.50
  6. Step 6: Final answer
    x = 6,316.17

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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.