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Finding the Fourth Proportional to 9,384.40, 14,076.78 and 4,189.24

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Solution

The fourth proportional to 9,384.40, 14,076.78 and 4,189.24 is: 6,283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.40 : 14,076.78 = 4,189.24 : x
  2. Step 2: Convert to fraction form
    9,384.40/14,076.78 = 4,189.24/x
  3. Step 3: Cross multiply
    9,384.40x = 14,076.78 × 4,189.24
  4. Step 4: Simplify right side
    9,384.40x = 58,971,009.85
  5. Step 5: Solve for x
    x = 58,971,009.85/9,384.40
  6. Step 6: Final answer
    x = 6,283.94

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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.