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Finding the Fourth Proportional to 9,444.58, 13,033.72 and 5,195.60

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Solution

The fourth proportional to 9,444.58, 13,033.72 and 5,195.60 is: 7,170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.58 : 13,033.72 = 5,195.60 : x
  2. Step 2: Convert to fraction form
    9,444.58/13,033.72 = 5,195.60/x
  3. Step 3: Cross multiply
    9,444.58x = 13,033.72 × 5,195.60
  4. Step 4: Simplify right side
    9,444.58x = 67,717,995.63
  5. Step 5: Solve for x
    x = 67,717,995.63/9,444.58
  6. Step 6: Final answer
    x = 7,170.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.