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Finding the Fourth Proportional to 9,690.24, 14,502.72 and 8,115.84

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Solution

The fourth proportional to 9,690.24, 14,502.72 and 8,115.84 is: 12,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.24 : 14,502.72 = 8,115.84 : x
  2. Step 2: Convert to fraction form
    9,690.24/14,502.72 = 8,115.84/x
  3. Step 3: Cross multiply
    9,690.24x = 14,502.72 × 8,115.84
  4. Step 4: Simplify right side
    9,690.24x = 117,701,755.08
  5. Step 5: Solve for x
    x = 117,701,755.08/9,690.24
  6. Step 6: Final answer
    x = 12,146.42

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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.