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Finding the Fourth Proportional to 6,946.62, 9,576.37 and 4,953.72

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Solution

The fourth proportional to 6,946.62, 9,576.37 and 4,953.72 is: 6,829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.62 : 9,576.37 = 4,953.72 : x
  2. Step 2: Convert to fraction form
    6,946.62/9,576.37 = 4,953.72/x
  3. Step 3: Cross multiply
    6,946.62x = 9,576.37 × 4,953.72
  4. Step 4: Simplify right side
    6,946.62x = 47,438,655.60
  5. Step 5: Solve for x
    x = 47,438,655.60/6,946.62
  6. Step 6: Final answer
    x = 6,829.03

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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.