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Finding the Fourth Proportional to 9,456.75, 14,180.76 and 6,813.18

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Solution

The fourth proportional to 9,456.75, 14,180.76 and 6,813.18 is: 10,216.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.75 : 14,180.76 = 6,813.18 : x
  2. Step 2: Convert to fraction form
    9,456.75/14,180.76 = 6,813.18/x
  3. Step 3: Cross multiply
    9,456.75x = 14,180.76 × 6,813.18
  4. Step 4: Simplify right side
    9,456.75x = 96,616,070.42
  5. Step 5: Solve for x
    x = 96,616,070.42/9,456.75
  6. Step 6: Final answer
    x = 10,216.63

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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.