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Finding the Fourth Proportional to 9,186.54, 13,774.34 and 6,228.60

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Solution

The fourth proportional to 9,186.54, 13,774.34 and 6,228.60 is: 9,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.54 : 13,774.34 = 6,228.60 : x
  2. Step 2: Convert to fraction form
    9,186.54/13,774.34 = 6,228.60/x
  3. Step 3: Cross multiply
    9,186.54x = 13,774.34 × 6,228.60
  4. Step 4: Simplify right side
    9,186.54x = 85,794,854.12
  5. Step 5: Solve for x
    x = 85,794,854.12/9,186.54
  6. Step 6: Final answer
    x = 9,339.19

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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.