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Finding the Fourth Proportional to 9,786.69, 13,506.54 and 5,594.13

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Solution

The fourth proportional to 9,786.69, 13,506.54 and 5,594.13 is: 7,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.69 : 13,506.54 = 5,594.13 : x
  2. Step 2: Convert to fraction form
    9,786.69/13,506.54 = 5,594.13/x
  3. Step 3: Cross multiply
    9,786.69x = 13,506.54 × 5,594.13
  4. Step 4: Simplify right side
    9,786.69x = 75,557,340.61
  5. Step 5: Solve for x
    x = 75,557,340.61/9,786.69
  6. Step 6: Final answer
    x = 7,720.42

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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.