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Finding the Fourth Proportional to 9,826.57, 13,576.56 and 6,855.67

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Solution

The fourth proportional to 9,826.57, 13,576.56 and 6,855.67 is: 9,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.57 : 13,576.56 = 6,855.67 : x
  2. Step 2: Convert to fraction form
    9,826.57/13,576.56 = 6,855.67/x
  3. Step 3: Cross multiply
    9,826.57x = 13,576.56 × 6,855.67
  4. Step 4: Simplify right side
    9,826.57x = 93,076,347.21
  5. Step 5: Solve for x
    x = 93,076,347.21/9,826.57
  6. Step 6: Final answer
    x = 9,471.91

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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.