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Finding the Fourth Proportional to 6,420.63, 9,632.57 and 1,803.63

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Solution

The fourth proportional to 6,420.63, 9,632.57 and 1,803.63 is: 2,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.63 : 9,632.57 = 1,803.63 : x
  2. Step 2: Convert to fraction form
    6,420.63/9,632.57 = 1,803.63/x
  3. Step 3: Cross multiply
    6,420.63x = 9,632.57 × 1,803.63
  4. Step 4: Simplify right side
    6,420.63x = 17,373,592.23
  5. Step 5: Solve for x
    x = 17,373,592.23/6,420.63
  6. Step 6: Final answer
    x = 2,705.90

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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.