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Finding the Fourth Proportional to 9,666, 13,339.08 and 5,474.52

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Solution

The fourth proportional to 9,666, 13,339.08 and 5,474.52 is: 7,554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666 : 13,339.08 = 5,474.52 : x
  2. Step 2: Convert to fraction form
    9,666/13,339.08 = 5,474.52/x
  3. Step 3: Cross multiply
    9,666x = 13,339.08 × 5,474.52
  4. Step 4: Simplify right side
    9,666x = 73,025,060.24
  5. Step 5: Solve for x
    x = 73,025,060.24/9,666
  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.