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Finding the Fourth Proportional to 9,415.40, 12,993.26 and 5,166.50

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Solution

The fourth proportional to 9,415.40, 12,993.26 and 5,166.50 is: 7,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.40 : 12,993.26 = 5,166.50 : x
  2. Step 2: Convert to fraction form
    9,415.40/12,993.26 = 5,166.50/x
  3. Step 3: Cross multiply
    9,415.40x = 12,993.26 × 5,166.50
  4. Step 4: Simplify right side
    9,415.40x = 67,129,586.99
  5. Step 5: Solve for x
    x = 67,129,586.99/9,415.40
  6. Step 6: Final answer
    x = 7,129.77

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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.