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Finding the Fourth Proportional to 6,461.94, 9,693.14 and 1,782.31

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Solution

The fourth proportional to 6,461.94, 9,693.14 and 1,782.31 is: 2,673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.94 : 9,693.14 = 1,782.31 : x
  2. Step 2: Convert to fraction form
    6,461.94/9,693.14 = 1,782.31/x
  3. Step 3: Cross multiply
    6,461.94x = 9,693.14 × 1,782.31
  4. Step 4: Simplify right side
    6,461.94x = 17,276,180.35
  5. Step 5: Solve for x
    x = 17,276,180.35/6,461.94
  6. Step 6: Final answer
    x = 2,673.53

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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.