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Finding the Fourth Proportional to 9,011.34, 12,435.66 and 5,474.52

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Solution

The fourth proportional to 9,011.34, 12,435.66 and 5,474.52 is: 7,554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.34 : 12,435.66 = 5,474.52 : x
  2. Step 2: Convert to fraction form
    9,011.34/12,435.66 = 5,474.52/x
  3. Step 3: Cross multiply
    9,011.34x = 12,435.66 × 5,474.52
  4. Step 4: Simplify right side
    9,011.34x = 68,079,269.38
  5. Step 5: Solve for x
    x = 68,079,269.38/9,011.34
  6. Step 6: Final answer
    x = 7,554.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.