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Finding the Fourth Proportional to 9,757.51, 13,471.16 and 6,406.18

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Solution

The fourth proportional to 9,757.51, 13,471.16 and 6,406.18 is: 8,844.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.51 : 13,471.16 = 6,406.18 : x
  2. Step 2: Convert to fraction form
    9,757.51/13,471.16 = 6,406.18/x
  3. Step 3: Cross multiply
    9,757.51x = 13,471.16 × 6,406.18
  4. Step 4: Simplify right side
    9,757.51x = 86,298,610.06
  5. Step 5: Solve for x
    x = 86,298,610.06/9,757.51
  6. Step 6: Final answer
    x = 8,844.33

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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.