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Finding the Fourth Proportional to 9,643.19, 14,462.27 and 4,093.67

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Solution

The fourth proportional to 9,643.19, 14,462.27 and 4,093.67 is: 6,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.19 : 14,462.27 = 4,093.67 : x
  2. Step 2: Convert to fraction form
    9,643.19/14,462.27 = 4,093.67/x
  3. Step 3: Cross multiply
    9,643.19x = 14,462.27 × 4,093.67
  4. Step 4: Simplify right side
    9,643.19x = 59,203,668.05
  5. Step 5: Solve for x
    x = 59,203,668.05/9,643.19
  6. Step 6: Final answer
    x = 6,139.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.