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Finding the Fourth Proportional to 6,159.88, 9,241.94 and 3,383

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Solution

The fourth proportional to 6,159.88, 9,241.94 and 3,383 is: 5,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.88 : 9,241.94 = 3,383 : x
  2. Step 2: Convert to fraction form
    6,159.88/9,241.94 = 3,383/x
  3. Step 3: Cross multiply
    6,159.88x = 9,241.94 × 3,383
  4. Step 4: Simplify right side
    6,159.88x = 31,265,483.02
  5. Step 5: Solve for x
    x = 31,265,483.02/6,159.88
  6. Step 6: Final answer
    x = 5,075.66

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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.