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Finding the Fourth Proportional to 9,674.52, 14,517.26 and 4,127.34

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Solution

The fourth proportional to 9,674.52, 14,517.26 and 4,127.34 is: 6,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.52 : 14,517.26 = 4,127.34 : x
  2. Step 2: Convert to fraction form
    9,674.52/14,517.26 = 4,127.34/x
  3. Step 3: Cross multiply
    9,674.52x = 14,517.26 × 4,127.34
  4. Step 4: Simplify right side
    9,674.52x = 59,917,647.25
  5. Step 5: Solve for x
    x = 59,917,647.25/9,674.52
  6. Step 6: Final answer
    x = 6,193.35

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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.