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Finding the Fourth Proportional to 9,458.64, 14,187.42 and 3,612.60

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Solution

The fourth proportional to 9,458.64, 14,187.42 and 3,612.60 is: 5,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.64 : 14,187.42 = 3,612.60 : x
  2. Step 2: Convert to fraction form
    9,458.64/14,187.42 = 3,612.60/x
  3. Step 3: Cross multiply
    9,458.64x = 14,187.42 × 3,612.60
  4. Step 4: Simplify right side
    9,458.64x = 51,253,473.49
  5. Step 5: Solve for x
    x = 51,253,473.49/9,458.64
  6. Step 6: Final answer
    x = 5,418.69

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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.