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Finding the Fourth Proportional to 6,281.48, 9,436.82 and 4,561.08

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Solution

The fourth proportional to 6,281.48, 9,436.82 and 4,561.08 is: 6,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.48 : 9,436.82 = 4,561.08 : x
  2. Step 2: Convert to fraction form
    6,281.48/9,436.82 = 4,561.08/x
  3. Step 3: Cross multiply
    6,281.48x = 9,436.82 × 4,561.08
  4. Step 4: Simplify right side
    6,281.48x = 43,042,090.97
  5. Step 5: Solve for x
    x = 43,042,090.97/6,281.48
  6. Step 6: Final answer
    x = 6,852.22

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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.