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Finding the Fourth Proportional to 9,357.80, 12,910.66 and 6,172.67

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Solution

The fourth proportional to 9,357.80, 12,910.66 and 6,172.67 is: 8,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.80 : 12,910.66 = 6,172.67 : x
  2. Step 2: Convert to fraction form
    9,357.80/12,910.66 = 6,172.67/x
  3. Step 3: Cross multiply
    9,357.80x = 12,910.66 × 6,172.67
  4. Step 4: Simplify right side
    9,357.80x = 79,693,260.51
  5. Step 5: Solve for x
    x = 79,693,260.51/9,357.80
  6. Step 6: Final answer
    x = 8,516.24

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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.