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Finding the Fourth Proportional to 6,261.40, 9,347.09 and 5,805.64

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Solution

The fourth proportional to 6,261.40, 9,347.09 and 5,805.64 is: 8,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.40 : 9,347.09 = 5,805.64 : x
  2. Step 2: Convert to fraction form
    6,261.40/9,347.09 = 5,805.64/x
  3. Step 3: Cross multiply
    6,261.40x = 9,347.09 × 5,805.64
  4. Step 4: Simplify right side
    6,261.40x = 54,265,839.59
  5. Step 5: Solve for x
    x = 54,265,839.59/6,261.40
  6. Step 6: Final answer
    x = 8,666.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.