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Finding the Fourth Proportional to 9,816.12, 14,722.56 and 2,889

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Solution

The fourth proportional to 9,816.12, 14,722.56 and 2,889 is: 4,333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.12 : 14,722.56 = 2,889 : x
  2. Step 2: Convert to fraction form
    9,816.12/14,722.56 = 2,889/x
  3. Step 3: Cross multiply
    9,816.12x = 14,722.56 × 2,889
  4. Step 4: Simplify right side
    9,816.12x = 42,533,475.84
  5. Step 5: Solve for x
    x = 42,533,475.84/9,816.12
  6. Step 6: Final answer
    x = 4,333.02

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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.