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Finding the Fourth Proportional to 9,536.57, 14,308.97 and 5,157.12

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Solution

The fourth proportional to 9,536.57, 14,308.97 and 5,157.12 is: 7,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.57 : 14,308.97 = 5,157.12 : x
  2. Step 2: Convert to fraction form
    9,536.57/14,308.97 = 5,157.12/x
  3. Step 3: Cross multiply
    9,536.57x = 14,308.97 × 5,157.12
  4. Step 4: Simplify right side
    9,536.57x = 73,793,075.37
  5. Step 5: Solve for x
    x = 73,793,075.37/9,536.57
  6. Step 6: Final answer
    x = 7,737.91

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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.