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Finding the Fourth Proportional to 10,623.40, 14,652.18 and 6,846.94

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Solution

The fourth proportional to 10,623.40, 14,652.18 and 6,846.94 is: 9,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.40 : 14,652.18 = 6,846.94 : x
  2. Step 2: Convert to fraction form
    10,623.40/14,652.18 = 6,846.94/x
  3. Step 3: Cross multiply
    10,623.40x = 14,652.18 × 6,846.94
  4. Step 4: Simplify right side
    10,623.40x = 100,322,597.33
  5. Step 5: Solve for x
    x = 100,322,597.33/10,623.40
  6. Step 6: Final answer
    x = 9,443.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.