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Finding the Fourth Proportional to 9,826.35, 13,546.04 and 7,464.39

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Solution

The fourth proportional to 9,826.35, 13,546.04 and 7,464.39 is: 10,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.35 : 13,546.04 = 7,464.39 : x
  2. Step 2: Convert to fraction form
    9,826.35/13,546.04 = 7,464.39/x
  3. Step 3: Cross multiply
    9,826.35x = 13,546.04 × 7,464.39
  4. Step 4: Simplify right side
    9,826.35x = 101,112,888.19
  5. Step 5: Solve for x
    x = 101,112,888.19/9,826.35
  6. Step 6: Final answer
    x = 10,289.97

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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.