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Finding the Fourth Proportional to 9,576.42, 14,334.92 and 5,182.98

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Solution

The fourth proportional to 9,576.42, 14,334.92 and 5,182.98 is: 7,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.42 : 14,334.92 = 5,182.98 : x
  2. Step 2: Convert to fraction form
    9,576.42/14,334.92 = 5,182.98/x
  3. Step 3: Cross multiply
    9,576.42x = 14,334.92 × 5,182.98
  4. Step 4: Simplify right side
    9,576.42x = 74,297,603.66
  5. Step 5: Solve for x
    x = 74,297,603.66/9,576.42
  6. Step 6: Final answer
    x = 7,758.39

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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.