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Finding the Fourth Proportional to 9,245.40, 13,865.46 and 3,400.68

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Solution

The fourth proportional to 9,245.40, 13,865.46 and 3,400.68 is: 5,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.40 : 13,865.46 = 3,400.68 : x
  2. Step 2: Convert to fraction form
    9,245.40/13,865.46 = 3,400.68/x
  3. Step 3: Cross multiply
    9,245.40x = 13,865.46 × 3,400.68
  4. Step 4: Simplify right side
    9,245.40x = 47,151,992.51
  5. Step 5: Solve for x
    x = 47,151,992.51/9,245.40
  6. Step 6: Final answer
    x = 5,100.05

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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.