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Finding the Fourth Proportional to 9,537.66, 13,162.23 and 5,230.98

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Solution

The fourth proportional to 9,537.66, 13,162.23 and 5,230.98 is: 7,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.66 : 13,162.23 = 5,230.98 : x
  2. Step 2: Convert to fraction form
    9,537.66/13,162.23 = 5,230.98/x
  3. Step 3: Cross multiply
    9,537.66x = 13,162.23 × 5,230.98
  4. Step 4: Simplify right side
    9,537.66x = 68,851,361.89
  5. Step 5: Solve for x
    x = 68,851,361.89/9,537.66
  6. Step 6: Final answer
    x = 7,218.89

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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.