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Finding the Fourth Proportional to 9,952.64, 14,942.08 and 5,796.48

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Solution

The fourth proportional to 9,952.64, 14,942.08 and 5,796.48 is: 8,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.64 : 14,942.08 = 5,796.48 : x
  2. Step 2: Convert to fraction form
    9,952.64/14,942.08 = 5,796.48/x
  3. Step 3: Cross multiply
    9,952.64x = 14,942.08 × 5,796.48
  4. Step 4: Simplify right side
    9,952.64x = 86,611,467.88
  5. Step 5: Solve for x
    x = 86,611,467.88/9,952.64
  6. Step 6: Final answer
    x = 8,702.36

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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.