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Finding the Fourth Proportional to 9,573.54, 13,212.09 and 5,382.06

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Solution

The fourth proportional to 9,573.54, 13,212.09 and 5,382.06 is: 7,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.54 : 13,212.09 = 5,382.06 : x
  2. Step 2: Convert to fraction form
    9,573.54/13,212.09 = 5,382.06/x
  3. Step 3: Cross multiply
    9,573.54x = 13,212.09 × 5,382.06
  4. Step 4: Simplify right side
    9,573.54x = 71,108,261.11
  5. Step 5: Solve for x
    x = 71,108,261.11/9,573.54
  6. Step 6: Final answer
    x = 7,427.58

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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.