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Finding the Fourth Proportional to 9,784.27, 14,676.55 and 2,388.87

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Solution

The fourth proportional to 9,784.27, 14,676.55 and 2,388.87 is: 3,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.27 : 14,676.55 = 2,388.87 : x
  2. Step 2: Convert to fraction form
    9,784.27/14,676.55 = 2,388.87/x
  3. Step 3: Cross multiply
    9,784.27x = 14,676.55 × 2,388.87
  4. Step 4: Simplify right side
    9,784.27x = 35,060,358.05
  5. Step 5: Solve for x
    x = 35,060,358.05/9,784.27
  6. Step 6: Final answer
    x = 3,583.34

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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.