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Finding the Fourth Proportional to 9,690.14, 14,523.02 and 5,247.63

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Solution

The fourth proportional to 9,690.14, 14,523.02 and 5,247.63 is: 7,864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.14 : 14,523.02 = 5,247.63 : x
  2. Step 2: Convert to fraction form
    9,690.14/14,523.02 = 5,247.63/x
  3. Step 3: Cross multiply
    9,690.14x = 14,523.02 × 5,247.63
  4. Step 4: Simplify right side
    9,690.14x = 76,211,435.44
  5. Step 5: Solve for x
    x = 76,211,435.44/9,690.14
  6. Step 6: Final answer
    x = 7,864.84

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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.