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Finding the Fourth Proportional to 9,384.54, 14,076.28 and 2,364.46

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Solution

The fourth proportional to 9,384.54, 14,076.28 and 2,364.46 is: 3,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.54 : 14,076.28 = 2,364.46 : x
  2. Step 2: Convert to fraction form
    9,384.54/14,076.28 = 2,364.46/x
  3. Step 3: Cross multiply
    9,384.54x = 14,076.28 × 2,364.46
  4. Step 4: Simplify right side
    9,384.54x = 33,282,801.01
  5. Step 5: Solve for x
    x = 33,282,801.01/9,384.54
  6. Step 6: Final answer
    x = 3,546.56

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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.