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Finding the Fourth Proportional to 9,814.94, 14,728.62 and 8,892.38

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Solution

The fourth proportional to 9,814.94, 14,728.62 and 8,892.38 is: 13,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.94 : 14,728.62 = 8,892.38 : x
  2. Step 2: Convert to fraction form
    9,814.94/14,728.62 = 8,892.38/x
  3. Step 3: Cross multiply
    9,814.94x = 14,728.62 × 8,892.38
  4. Step 4: Simplify right side
    9,814.94x = 130,972,485.92
  5. Step 5: Solve for x
    x = 130,972,485.92/9,814.94
  6. Step 6: Final answer
    x = 13,344.20

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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.