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Finding the Fourth Proportional to 9,962.26, 13,748.05 and 5,486.32

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Solution

The fourth proportional to 9,962.26, 13,748.05 and 5,486.32 is: 7,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.26 : 13,748.05 = 5,486.32 : x
  2. Step 2: Convert to fraction form
    9,962.26/13,748.05 = 5,486.32/x
  3. Step 3: Cross multiply
    9,962.26x = 13,748.05 × 5,486.32
  4. Step 4: Simplify right side
    9,962.26x = 75,426,201.68
  5. Step 5: Solve for x
    x = 75,426,201.68/9,962.26
  6. Step 6: Final answer
    x = 7,571.19

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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.