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Finding the Fourth Proportional to 9,058.26, 13,577.41 and 6,829.94

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Solution

The fourth proportional to 9,058.26, 13,577.41 and 6,829.94 is: 10,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,058.26 : 13,577.41 = 6,829.94 : x
  2. Step 2: Convert to fraction form
    9,058.26/13,577.41 = 6,829.94/x
  3. Step 3: Cross multiply
    9,058.26x = 13,577.41 × 6,829.94
  4. Step 4: Simplify right side
    9,058.26x = 92,732,861.51
  5. Step 5: Solve for x
    x = 92,732,861.51/9,058.26
  6. Step 6: Final answer
    x = 10,237.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.