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Finding the Fourth Proportional to 9,712.89, 13,403.37 and 5,463.88

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Solution

The fourth proportional to 9,712.89, 13,403.37 and 5,463.88 is: 7,539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.89 : 13,403.37 = 5,463.88 : x
  2. Step 2: Convert to fraction form
    9,712.89/13,403.37 = 5,463.88/x
  3. Step 3: Cross multiply
    9,712.89x = 13,403.37 × 5,463.88
  4. Step 4: Simplify right side
    9,712.89x = 73,234,310.94
  5. Step 5: Solve for x
    x = 73,234,310.94/9,712.89
  6. Step 6: Final answer
    x = 7,539.91

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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.