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Finding the Fourth Proportional to 9,164.80, 13,742.60 and 4,485.16

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Solution

The fourth proportional to 9,164.80, 13,742.60 and 4,485.16 is: 6,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.80 : 13,742.60 = 4,485.16 : x
  2. Step 2: Convert to fraction form
    9,164.80/13,742.60 = 4,485.16/x
  3. Step 3: Cross multiply
    9,164.80x = 13,742.60 × 4,485.16
  4. Step 4: Simplify right side
    9,164.80x = 61,637,759.82
  5. Step 5: Solve for x
    x = 61,637,759.82/9,164.80
  6. Step 6: Final answer
    x = 6,725.49

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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.