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Finding the Fourth Proportional to 10,454.01, 14,419.97 and 6,202.06

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Solution

The fourth proportional to 10,454.01, 14,419.97 and 6,202.06 is: 8,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.01 : 14,419.97 = 6,202.06 : x
  2. Step 2: Convert to fraction form
    10,454.01/14,419.97 = 6,202.06/x
  3. Step 3: Cross multiply
    10,454.01x = 14,419.97 × 6,202.06
  4. Step 4: Simplify right side
    10,454.01x = 89,433,436.67
  5. Step 5: Solve for x
    x = 89,433,436.67/10,454.01
  6. Step 6: Final answer
    x = 8,554.94

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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.