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Finding the Fourth Proportional to 9,750.01, 13,451.41 and 6,394.69

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Solution

The fourth proportional to 9,750.01, 13,451.41 and 6,394.69 is: 8,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.01 : 13,451.41 = 6,394.69 : x
  2. Step 2: Convert to fraction form
    9,750.01/13,451.41 = 6,394.69/x
  3. Step 3: Cross multiply
    9,750.01x = 13,451.41 × 6,394.69
  4. Step 4: Simplify right side
    9,750.01x = 86,017,597.01
  5. Step 5: Solve for x
    x = 86,017,597.01/9,750.01
  6. Step 6: Final answer
    x = 8,822.31

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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.