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Finding the Fourth Proportional to 9,483.56, 14,226.10 and 2,557.96

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Solution

The fourth proportional to 9,483.56, 14,226.10 and 2,557.96 is: 3,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.56 : 14,226.10 = 2,557.96 : x
  2. Step 2: Convert to fraction form
    9,483.56/14,226.10 = 2,557.96/x
  3. Step 3: Cross multiply
    9,483.56x = 14,226.10 × 2,557.96
  4. Step 4: Simplify right side
    9,483.56x = 36,389,794.76
  5. Step 5: Solve for x
    x = 36,389,794.76/9,483.56
  6. Step 6: Final answer
    x = 3,837.14

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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.