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Finding the Fourth Proportional to 9,384.54, 14,076.81 and 2,458.50

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Solution

The fourth proportional to 9,384.54, 14,076.81 and 2,458.50 is: 3,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.54 : 14,076.81 = 2,458.50 : x
  2. Step 2: Convert to fraction form
    9,384.54/14,076.81 = 2,458.50/x
  3. Step 3: Cross multiply
    9,384.54x = 14,076.81 × 2,458.50
  4. Step 4: Simplify right side
    9,384.54x = 34,607,837.39
  5. Step 5: Solve for x
    x = 34,607,837.39/9,384.54
  6. Step 6: Final answer
    x = 3,687.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.