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Finding the Fourth Proportional to 9,893.41, 14,838.26 and 4,961.72

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Solution

The fourth proportional to 9,893.41, 14,838.26 and 4,961.72 is: 7,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.41 : 14,838.26 = 4,961.72 : x
  2. Step 2: Convert to fraction form
    9,893.41/14,838.26 = 4,961.72/x
  3. Step 3: Cross multiply
    9,893.41x = 14,838.26 × 4,961.72
  4. Step 4: Simplify right side
    9,893.41x = 73,623,303.69
  5. Step 5: Solve for x
    x = 73,623,303.69/9,893.41
  6. Step 6: Final answer
    x = 7,441.65

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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.