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Finding the Fourth Proportional to 9,243.29, 13,864.72 and 6,274.32

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Solution

The fourth proportional to 9,243.29, 13,864.72 and 6,274.32 is: 9,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.29 : 13,864.72 = 6,274.32 : x
  2. Step 2: Convert to fraction form
    9,243.29/13,864.72 = 6,274.32/x
  3. Step 3: Cross multiply
    9,243.29x = 13,864.72 × 6,274.32
  4. Step 4: Simplify right side
    9,243.29x = 86,991,674.30
  5. Step 5: Solve for x
    x = 86,991,674.30/9,243.29
  6. Step 6: Final answer
    x = 9,411.34

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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.