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Finding the Fourth Proportional to 9,755.49, 13,458.92 and 6,400.16

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Solution

The fourth proportional to 9,755.49, 13,458.92 and 6,400.16 is: 8,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.49 : 13,458.92 = 6,400.16 : x
  2. Step 2: Convert to fraction form
    9,755.49/13,458.92 = 6,400.16/x
  3. Step 3: Cross multiply
    9,755.49x = 13,458.92 × 6,400.16
  4. Step 4: Simplify right side
    9,755.49x = 86,139,241.43
  5. Step 5: Solve for x
    x = 86,139,241.43/9,755.49
  6. Step 6: Final answer
    x = 8,829.82

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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.