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Finding the Fourth Proportional to 9,936, 14,893.92 and 4,095.84

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Solution

The fourth proportional to 9,936, 14,893.92 and 4,095.84 is: 6,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936 : 14,893.92 = 4,095.84 : x
  2. Step 2: Convert to fraction form
    9,936/14,893.92 = 4,095.84/x
  3. Step 3: Cross multiply
    9,936x = 14,893.92 × 4,095.84
  4. Step 4: Simplify right side
    9,936x = 61,003,113.29
  5. Step 5: Solve for x
    x = 61,003,113.29/9,936
  6. Step 6: Final answer
    x = 6,139.60

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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.