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Finding the Fourth Proportional to 9,502.44, 14,234.76 and 8,690.28

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Solution

The fourth proportional to 9,502.44, 14,234.76 and 8,690.28 is: 13,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.44 : 14,234.76 = 8,690.28 : x
  2. Step 2: Convert to fraction form
    9,502.44/14,234.76 = 8,690.28/x
  3. Step 3: Cross multiply
    9,502.44x = 14,234.76 × 8,690.28
  4. Step 4: Simplify right side
    9,502.44x = 123,704,050.13
  5. Step 5: Solve for x
    x = 123,704,050.13/9,502.44
  6. Step 6: Final answer
    x = 13,018.14

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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.