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Finding the Fourth Proportional to 6,420.63, 9,632.32 and 2,260.47

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Solution

The fourth proportional to 6,420.63, 9,632.32 and 2,260.47 is: 3,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.63 : 9,632.32 = 2,260.47 : x
  2. Step 2: Convert to fraction form
    6,420.63/9,632.32 = 2,260.47/x
  3. Step 3: Cross multiply
    6,420.63x = 9,632.32 × 2,260.47
  4. Step 4: Simplify right side
    6,420.63x = 21,773,600.86
  5. Step 5: Solve for x
    x = 21,773,600.86/6,420.63
  6. Step 6: Final answer
    x = 3,391.19

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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.