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Finding the Fourth Proportional to 9,173.76, 12,657.66 and 5,193.99

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Solution

The fourth proportional to 9,173.76, 12,657.66 and 5,193.99 is: 7,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173.76 : 12,657.66 = 5,193.99 : x
  2. Step 2: Convert to fraction form
    9,173.76/12,657.66 = 5,193.99/x
  3. Step 3: Cross multiply
    9,173.76x = 12,657.66 × 5,193.99
  4. Step 4: Simplify right side
    9,173.76x = 65,743,759.46
  5. Step 5: Solve for x
    x = 65,743,759.46/9,173.76
  6. Step 6: Final answer
    x = 7,166.50

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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.