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Finding the Fourth Proportional to 9,518.52, 14,246.73 and 8,609.16

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Solution

The fourth proportional to 9,518.52, 14,246.73 and 8,609.16 is: 12,885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.52 : 14,246.73 = 8,609.16 : x
  2. Step 2: Convert to fraction form
    9,518.52/14,246.73 = 8,609.16/x
  3. Step 3: Cross multiply
    9,518.52x = 14,246.73 × 8,609.16
  4. Step 4: Simplify right side
    9,518.52x = 122,652,378.05
  5. Step 5: Solve for x
    x = 122,652,378.05/9,518.52
  6. Step 6: Final answer
    x = 12,885.66

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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.