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Finding the Fourth Proportional to 9,876.24, 13,629.60 and 5,400.32

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Solution

The fourth proportional to 9,876.24, 13,629.60 and 5,400.32 is: 7,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.24 : 13,629.60 = 5,400.32 : x
  2. Step 2: Convert to fraction form
    9,876.24/13,629.60 = 5,400.32/x
  3. Step 3: Cross multiply
    9,876.24x = 13,629.60 × 5,400.32
  4. Step 4: Simplify right side
    9,876.24x = 73,604,133.32
  5. Step 5: Solve for x
    x = 73,604,133.32/9,876.24
  6. Step 6: Final answer
    x = 7,452.65

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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.