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Finding the Fourth Proportional to 9,782.93, 13,506.26 and 6,431.69

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Solution

The fourth proportional to 9,782.93, 13,506.26 and 6,431.69 is: 8,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.93 : 13,506.26 = 6,431.69 : x
  2. Step 2: Convert to fraction form
    9,782.93/13,506.26 = 6,431.69/x
  3. Step 3: Cross multiply
    9,782.93x = 13,506.26 × 6,431.69
  4. Step 4: Simplify right side
    9,782.93x = 86,867,977.69
  5. Step 5: Solve for x
    x = 86,867,977.69/9,782.93
  6. Step 6: Final answer
    x = 8,879.55

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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.