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Finding the Fourth Proportional to 9,284.52, 13,939.26 and 9,186.60

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Solution

The fourth proportional to 9,284.52, 13,939.26 and 9,186.60 is: 13,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.52 : 13,939.26 = 9,186.60 : x
  2. Step 2: Convert to fraction form
    9,284.52/13,939.26 = 9,186.60/x
  3. Step 3: Cross multiply
    9,284.52x = 13,939.26 × 9,186.60
  4. Step 4: Simplify right side
    9,284.52x = 128,054,405.92
  5. Step 5: Solve for x
    x = 128,054,405.92/9,284.52
  6. Step 6: Final answer
    x = 13,792.25

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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.