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Finding the Fourth Proportional to 9,749.12, 14,620.72 and 8,189.60

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Solution

The fourth proportional to 9,749.12, 14,620.72 and 8,189.60 is: 12,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.12 : 14,620.72 = 8,189.60 : x
  2. Step 2: Convert to fraction form
    9,749.12/14,620.72 = 8,189.60/x
  3. Step 3: Cross multiply
    9,749.12x = 14,620.72 × 8,189.60
  4. Step 4: Simplify right side
    9,749.12x = 119,737,848.51
  5. Step 5: Solve for x
    x = 119,737,848.51/9,749.12
  6. Step 6: Final answer
    x = 12,281.91

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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.