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Finding the Fourth Proportional to 9,794.66, 14,632.38 and 6,256.27

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Solution

The fourth proportional to 9,794.66, 14,632.38 and 6,256.27 is: 9,346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.66 : 14,632.38 = 6,256.27 : x
  2. Step 2: Convert to fraction form
    9,794.66/14,632.38 = 6,256.27/x
  3. Step 3: Cross multiply
    9,794.66x = 14,632.38 × 6,256.27
  4. Step 4: Simplify right side
    9,794.66x = 91,544,138.31
  5. Step 5: Solve for x
    x = 91,544,138.31/9,794.66
  6. Step 6: Final answer
    x = 9,346.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.