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Finding the Fourth Proportional to 6,704.51, 9,259.29 and 4,192.49

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Solution

The fourth proportional to 6,704.51, 9,259.29 and 4,192.49 is: 5,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.51 : 9,259.29 = 4,192.49 : x
  2. Step 2: Convert to fraction form
    6,704.51/9,259.29 = 4,192.49/x
  3. Step 3: Cross multiply
    6,704.51x = 9,259.29 × 4,192.49
  4. Step 4: Simplify right side
    6,704.51x = 38,819,503.88
  5. Step 5: Solve for x
    x = 38,819,503.88/6,704.51
  6. Step 6: Final answer
    x = 5,790.06

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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.