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Finding the Fourth Proportional to 9,702.88, 14,554.37 and 3,859.54

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Solution

The fourth proportional to 9,702.88, 14,554.37 and 3,859.54 is: 5,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.88 : 14,554.37 = 3,859.54 : x
  2. Step 2: Convert to fraction form
    9,702.88/14,554.37 = 3,859.54/x
  3. Step 3: Cross multiply
    9,702.88x = 14,554.37 × 3,859.54
  4. Step 4: Simplify right side
    9,702.88x = 56,173,173.19
  5. Step 5: Solve for x
    x = 56,173,173.19/9,702.88
  6. Step 6: Final answer
    x = 5,789.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.