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Finding the Fourth Proportional to 9,961.62, 13,746.78 and 5,485.20

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Solution

The fourth proportional to 9,961.62, 13,746.78 and 5,485.20 is: 7,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.62 : 13,746.78 = 5,485.20 : x
  2. Step 2: Convert to fraction form
    9,961.62/13,746.78 = 5,485.20/x
  3. Step 3: Cross multiply
    9,961.62x = 13,746.78 × 5,485.20
  4. Step 4: Simplify right side
    9,961.62x = 75,403,837.66
  5. Step 5: Solve for x
    x = 75,403,837.66/9,961.62
  6. Step 6: Final answer
    x = 7,569.44

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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.