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Finding the Fourth Proportional to 9,230.56, 13,774.40 and 8,246.08

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Solution

The fourth proportional to 9,230.56, 13,774.40 and 8,246.08 is: 12,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.56 : 13,774.40 = 8,246.08 : x
  2. Step 2: Convert to fraction form
    9,230.56/13,774.40 = 8,246.08/x
  3. Step 3: Cross multiply
    9,230.56x = 13,774.40 × 8,246.08
  4. Step 4: Simplify right side
    9,230.56x = 113,584,804.35
  5. Step 5: Solve for x
    x = 113,584,804.35/9,230.56
  6. Step 6: Final answer
    x = 12,305.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.