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Finding the Fourth Proportional to 9,204, 12,688.56 and 6,558

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Solution

The fourth proportional to 9,204, 12,688.56 and 6,558 is: 9,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204 : 12,688.56 = 6,558 : x
  2. Step 2: Convert to fraction form
    9,204/12,688.56 = 6,558/x
  3. Step 3: Cross multiply
    9,204x = 12,688.56 × 6,558
  4. Step 4: Simplify right side
    9,204x = 83,211,576.48
  5. Step 5: Solve for x
    x = 83,211,576.48/9,204
  6. Step 6: Final answer
    x = 9,040.81

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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.