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Finding the Fourth Proportional to 9,172.56, 12,657.84 and 5,193.36

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Solution

The fourth proportional to 9,172.56, 12,657.84 and 5,193.36 is: 7,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.56 : 12,657.84 = 5,193.36 : x
  2. Step 2: Convert to fraction form
    9,172.56/12,657.84 = 5,193.36/x
  3. Step 3: Cross multiply
    9,172.56x = 12,657.84 × 5,193.36
  4. Step 4: Simplify right side
    9,172.56x = 65,736,719.94
  5. Step 5: Solve for x
    x = 65,736,719.94/9,172.56
  6. Step 6: Final answer
    x = 7,166.67

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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.