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Finding the Fourth Proportional to 9,702.09, 13,388.83 and 5,453.26

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Solution

The fourth proportional to 9,702.09, 13,388.83 and 5,453.26 is: 7,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.09 : 13,388.83 = 5,453.26 : x
  2. Step 2: Convert to fraction form
    9,702.09/13,388.83 = 5,453.26/x
  3. Step 3: Cross multiply
    9,702.09x = 13,388.83 × 5,453.26
  4. Step 4: Simplify right side
    9,702.09x = 73,012,771.09
  5. Step 5: Solve for x
    x = 73,012,771.09/9,702.09
  6. Step 6: Final answer
    x = 7,525.47

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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.