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Finding the Fourth Proportional to 28,186.39, 42,274.86 and 9,464.32

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Solution

The fourth proportional to 28,186.39, 42,274.86 and 9,464.32 is: 14,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,186.39 : 42,274.86 = 9,464.32 : x
  2. Step 2: Convert to fraction form
    28,186.39/42,274.86 = 9,464.32/x
  3. Step 3: Cross multiply
    28,186.39x = 42,274.86 × 9,464.32
  4. Step 4: Simplify right side
    28,186.39x = 400,102,803.00
  5. Step 5: Solve for x
    x = 400,102,803.00/28,186.39
  6. Step 6: Final answer
    x = 14,194.89

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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.