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Finding the Fourth Proportional to 9,833.01, 14,744.04 and 3,255.60

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Solution

The fourth proportional to 9,833.01, 14,744.04 and 3,255.60 is: 4,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.01 : 14,744.04 = 3,255.60 : x
  2. Step 2: Convert to fraction form
    9,833.01/14,744.04 = 3,255.60/x
  3. Step 3: Cross multiply
    9,833.01x = 14,744.04 × 3,255.60
  4. Step 4: Simplify right side
    9,833.01x = 48,000,696.62
  5. Step 5: Solve for x
    x = 48,000,696.62/9,833.01
  6. Step 6: Final answer
    x = 4,881.59

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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.