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Finding the Fourth Proportional to 6,634.90, 9,153.80 and 4,114.40

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Solution

The fourth proportional to 6,634.90, 9,153.80 and 4,114.40 is: 5,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.90 : 9,153.80 = 4,114.40 : x
  2. Step 2: Convert to fraction form
    6,634.90/9,153.80 = 4,114.40/x
  3. Step 3: Cross multiply
    6,634.90x = 9,153.80 × 4,114.40
  4. Step 4: Simplify right side
    6,634.90x = 37,662,394.72
  5. Step 5: Solve for x
    x = 37,662,394.72/6,634.90
  6. Step 6: Final answer
    x = 5,676.41

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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.