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Finding the Fourth Proportional to 9,961.37, 13,746.74 and 5,485.22

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Solution

The fourth proportional to 9,961.37, 13,746.74 and 5,485.22 is: 7,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.37 : 13,746.74 = 5,485.22 : x
  2. Step 2: Convert to fraction form
    9,961.37/13,746.74 = 5,485.22/x
  3. Step 3: Cross multiply
    9,961.37x = 13,746.74 × 5,485.22
  4. Step 4: Simplify right side
    9,961.37x = 75,403,797.02
  5. Step 5: Solve for x
    x = 75,403,797.02/9,961.37
  6. Step 6: Final answer
    x = 7,569.62

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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.