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Finding the Fourth Proportional to 9,684.01, 13,363.37 and 5,434.67

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Solution

The fourth proportional to 9,684.01, 13,363.37 and 5,434.67 is: 7,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.01 : 13,363.37 = 5,434.67 : x
  2. Step 2: Convert to fraction form
    9,684.01/13,363.37 = 5,434.67/x
  3. Step 3: Cross multiply
    9,684.01x = 13,363.37 × 5,434.67
  4. Step 4: Simplify right side
    9,684.01x = 72,625,591.13
  5. Step 5: Solve for x
    x = 72,625,591.13/9,684.01
  6. Step 6: Final answer
    x = 7,499.54

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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.