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Finding the Fourth Proportional to 9,573.96, 13,212.18 and 5,382.12

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Solution

The fourth proportional to 9,573.96, 13,212.18 and 5,382.12 is: 7,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.96 : 13,212.18 = 5,382.12 : x
  2. Step 2: Convert to fraction form
    9,573.96/13,212.18 = 5,382.12/x
  3. Step 3: Cross multiply
    9,573.96x = 13,212.18 × 5,382.12
  4. Step 4: Simplify right side
    9,573.96x = 71,109,538.22
  5. Step 5: Solve for x
    x = 71,109,538.22/9,573.96
  6. Step 6: Final answer
    x = 7,427.39

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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.