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Finding the Fourth Proportional to 9,755.34, 13,458.06 and 7,665.54

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Solution

The fourth proportional to 9,755.34, 13,458.06 and 7,665.54 is: 10,575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.34 : 13,458.06 = 7,665.54 : x
  2. Step 2: Convert to fraction form
    9,755.34/13,458.06 = 7,665.54/x
  3. Step 3: Cross multiply
    9,755.34x = 13,458.06 × 7,665.54
  4. Step 4: Simplify right side
    9,755.34x = 103,163,297.25
  5. Step 5: Solve for x
    x = 103,163,297.25/9,755.34
  6. Step 6: Final answer
    x = 10,575.06

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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.