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Finding the Fourth Proportional to 9,197.79, 13,754.30 and 6,830.34

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Solution

The fourth proportional to 9,197.79, 13,754.30 and 6,830.34 is: 10,214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.79 : 13,754.30 = 6,830.34 : x
  2. Step 2: Convert to fraction form
    9,197.79/13,754.30 = 6,830.34/x
  3. Step 3: Cross multiply
    9,197.79x = 13,754.30 × 6,830.34
  4. Step 4: Simplify right side
    9,197.79x = 93,946,511.31
  5. Step 5: Solve for x
    x = 93,946,511.31/9,197.79
  6. Step 6: Final answer
    x = 10,214.03

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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.