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Finding the Fourth Proportional to 9,485.92, 14,237.68 and 4,809.22

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Solution

The fourth proportional to 9,485.92, 14,237.68 and 4,809.22 is: 7,218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.92 : 14,237.68 = 4,809.22 : x
  2. Step 2: Convert to fraction form
    9,485.92/14,237.68 = 4,809.22/x
  3. Step 3: Cross multiply
    9,485.92x = 14,237.68 × 4,809.22
  4. Step 4: Simplify right side
    9,485.92x = 68,472,135.41
  5. Step 5: Solve for x
    x = 68,472,135.41/9,485.92
  6. Step 6: Final answer
    x = 7,218.29

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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.