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Finding the Fourth Proportional to 6,881.49, 9,494.82 and 4,048.98

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Solution

The fourth proportional to 6,881.49, 9,494.82 and 4,048.98 is: 5,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.49 : 9,494.82 = 4,048.98 : x
  2. Step 2: Convert to fraction form
    6,881.49/9,494.82 = 4,048.98/x
  3. Step 3: Cross multiply
    6,881.49x = 9,494.82 × 4,048.98
  4. Step 4: Simplify right side
    6,881.49x = 38,444,387.07
  5. Step 5: Solve for x
    x = 38,444,387.07/6,881.49
  6. Step 6: Final answer
    x = 5,586.64

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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.