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Finding the Fourth Proportional to 10,047.33, 13,870.81 and 6,644.50

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Solution

The fourth proportional to 10,047.33, 13,870.81 and 6,644.50 is: 9,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.33 : 13,870.81 = 6,644.50 : x
  2. Step 2: Convert to fraction form
    10,047.33/13,870.81 = 6,644.50/x
  3. Step 3: Cross multiply
    10,047.33x = 13,870.81 × 6,644.50
  4. Step 4: Simplify right side
    10,047.33x = 92,164,597.05
  5. Step 5: Solve for x
    x = 92,164,597.05/10,047.33
  6. Step 6: Final answer
    x = 9,173.04

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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.