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Finding the Fourth Proportional to 9,546.01, 14,323.76 and 6,385.54

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Solution

The fourth proportional to 9,546.01, 14,323.76 and 6,385.54 is: 9,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.01 : 14,323.76 = 6,385.54 : x
  2. Step 2: Convert to fraction form
    9,546.01/14,323.76 = 6,385.54/x
  3. Step 3: Cross multiply
    9,546.01x = 14,323.76 × 6,385.54
  4. Step 4: Simplify right side
    9,546.01x = 91,464,874.69
  5. Step 5: Solve for x
    x = 91,464,874.69/9,546.01
  6. Step 6: Final answer
    x = 9,581.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.