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Finding the Fourth Proportional to 9,160.34, 13,674.19 and 8,475.54

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Solution

The fourth proportional to 9,160.34, 13,674.19 and 8,475.54 is: 12,651.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.34 : 13,674.19 = 8,475.54 : x
  2. Step 2: Convert to fraction form
    9,160.34/13,674.19 = 8,475.54/x
  3. Step 3: Cross multiply
    9,160.34x = 13,674.19 × 8,475.54
  4. Step 4: Simplify right side
    9,160.34x = 115,896,101.93
  5. Step 5: Solve for x
    x = 115,896,101.93/9,160.34
  6. Step 6: Final answer
    x = 12,651.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.