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Finding the Fourth Proportional to 9,191.70, 12,686.67 and 5,415.30

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Solution

The fourth proportional to 9,191.70, 12,686.67 and 5,415.30 is: 7,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.70 : 12,686.67 = 5,415.30 : x
  2. Step 2: Convert to fraction form
    9,191.70/12,686.67 = 5,415.30/x
  3. Step 3: Cross multiply
    9,191.70x = 12,686.67 × 5,415.30
  4. Step 4: Simplify right side
    9,191.70x = 68,702,124.05
  5. Step 5: Solve for x
    x = 68,702,124.05/9,191.70
  6. Step 6: Final answer
    x = 7,474.37

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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.