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Finding the Fourth Proportional to 9,567.32, 14,394.72 and 5,674.46

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Solution

The fourth proportional to 9,567.32, 14,394.72 and 5,674.46 is: 8,537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.32 : 14,394.72 = 5,674.46 : x
  2. Step 2: Convert to fraction form
    9,567.32/14,394.72 = 5,674.46/x
  3. Step 3: Cross multiply
    9,567.32x = 14,394.72 × 5,674.46
  4. Step 4: Simplify right side
    9,567.32x = 81,682,262.85
  5. Step 5: Solve for x
    x = 81,682,262.85/9,567.32
  6. Step 6: Final answer
    x = 8,537.63

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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.