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Finding the Fourth Proportional to 6,441.63, 8,889.93 and 3,609.23

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Solution

The fourth proportional to 6,441.63, 8,889.93 and 3,609.23 is: 4,981.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.63 : 8,889.93 = 3,609.23 : x
  2. Step 2: Convert to fraction form
    6,441.63/8,889.93 = 3,609.23/x
  3. Step 3: Cross multiply
    6,441.63x = 8,889.93 × 3,609.23
  4. Step 4: Simplify right side
    6,441.63x = 32,085,822.46
  5. Step 5: Solve for x
    x = 32,085,822.46/6,441.63
  6. Step 6: Final answer
    x = 4,981.01

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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.