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Finding the Fourth Proportional to 9,784.56, 14,676.96 and 2,859.20

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Solution

The fourth proportional to 9,784.56, 14,676.96 and 2,859.20 is: 4,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.56 : 14,676.96 = 2,859.20 : x
  2. Step 2: Convert to fraction form
    9,784.56/14,676.96 = 2,859.20/x
  3. Step 3: Cross multiply
    9,784.56x = 14,676.96 × 2,859.20
  4. Step 4: Simplify right side
    9,784.56x = 41,964,364.03
  5. Step 5: Solve for x
    x = 41,964,364.03/9,784.56
  6. Step 6: Final answer
    x = 4,288.84

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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.