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Finding the Fourth Proportional to 9,245.54, 13,867.90 and 2,582.08

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Solution

The fourth proportional to 9,245.54, 13,867.90 and 2,582.08 is: 3,873.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.54 : 13,867.90 = 2,582.08 : x
  2. Step 2: Convert to fraction form
    9,245.54/13,867.90 = 2,582.08/x
  3. Step 3: Cross multiply
    9,245.54x = 13,867.90 × 2,582.08
  4. Step 4: Simplify right side
    9,245.54x = 35,808,027.23
  5. Step 5: Solve for x
    x = 35,808,027.23/9,245.54
  6. Step 6: Final answer
    x = 3,873.01

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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.