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Finding the Fourth Proportional to 9,415.20, 14,122.80 and 6,790.80

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Solution

The fourth proportional to 9,415.20, 14,122.80 and 6,790.80 is: 10,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.20 : 14,122.80 = 6,790.80 : x
  2. Step 2: Convert to fraction form
    9,415.20/14,122.80 = 6,790.80/x
  3. Step 3: Cross multiply
    9,415.20x = 14,122.80 × 6,790.80
  4. Step 4: Simplify right side
    9,415.20x = 95,905,110.24
  5. Step 5: Solve for x
    x = 95,905,110.24/9,415.20
  6. Step 6: Final answer
    x = 10,186.20

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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.