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Finding the Fourth Proportional to 9,309.05, 12,846.34 and 5,117.21

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Solution

The fourth proportional to 9,309.05, 12,846.34 and 5,117.21 is: 7,061.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.05 : 12,846.34 = 5,117.21 : x
  2. Step 2: Convert to fraction form
    9,309.05/12,846.34 = 5,117.21/x
  3. Step 3: Cross multiply
    9,309.05x = 12,846.34 × 5,117.21
  4. Step 4: Simplify right side
    9,309.05x = 65,737,419.51
  5. Step 5: Solve for x
    x = 65,737,419.51/9,309.05
  6. Step 6: Final answer
    x = 7,061.67

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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.