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Finding the Fourth Proportional to 6,852.69, 9,456.05 and 5,439.80

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Solution

The fourth proportional to 6,852.69, 9,456.05 and 5,439.80 is: 7,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.69 : 9,456.05 = 5,439.80 : x
  2. Step 2: Convert to fraction form
    6,852.69/9,456.05 = 5,439.80/x
  3. Step 3: Cross multiply
    6,852.69x = 9,456.05 × 5,439.80
  4. Step 4: Simplify right side
    6,852.69x = 51,439,020.79
  5. Step 5: Solve for x
    x = 51,439,020.79/6,852.69
  6. Step 6: Final answer
    x = 7,506.40

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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.