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Finding the Fourth Proportional to 9,782.03, 13,494.72 and 5,801.69

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Solution

The fourth proportional to 9,782.03, 13,494.72 and 5,801.69 is: 8,003.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.03 : 13,494.72 = 5,801.69 : x
  2. Step 2: Convert to fraction form
    9,782.03/13,494.72 = 5,801.69/x
  3. Step 3: Cross multiply
    9,782.03x = 13,494.72 × 5,801.69
  4. Step 4: Simplify right side
    9,782.03x = 78,292,167.57
  5. Step 5: Solve for x
    x = 78,292,167.57/9,782.03
  6. Step 6: Final answer
    x = 8,003.67

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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.