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Finding the Fourth Proportional to 9,893.76, 13,652.32 and 5,914.32

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Solution

The fourth proportional to 9,893.76, 13,652.32 and 5,914.32 is: 8,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.76 : 13,652.32 = 5,914.32 : x
  2. Step 2: Convert to fraction form
    9,893.76/13,652.32 = 5,914.32/x
  3. Step 3: Cross multiply
    9,893.76x = 13,652.32 × 5,914.32
  4. Step 4: Simplify right side
    9,893.76x = 80,744,189.22
  5. Step 5: Solve for x
    x = 80,744,189.22/9,893.76
  6. Step 6: Final answer
    x = 8,161.12

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1.5x scale

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.