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Finding the Fourth Proportional to 9,484.59, 14,226.89 and 2,559.09

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Solution

The fourth proportional to 9,484.59, 14,226.89 and 2,559.09 is: 3,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.59 : 14,226.89 = 2,559.09 : x
  2. Step 2: Convert to fraction form
    9,484.59/14,226.89 = 2,559.09/x
  3. Step 3: Cross multiply
    9,484.59x = 14,226.89 × 2,559.09
  4. Step 4: Simplify right side
    9,484.59x = 36,407,946.88
  5. Step 5: Solve for x
    x = 36,407,946.88/9,484.59
  6. Step 6: Final answer
    x = 3,838.64

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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.