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Finding the Fourth Proportional to 9,533.57, 14,297.31 and 3,985.88

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Solution

The fourth proportional to 9,533.57, 14,297.31 and 3,985.88 is: 5,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.57 : 14,297.31 = 3,985.88 : x
  2. Step 2: Convert to fraction form
    9,533.57/14,297.31 = 3,985.88/x
  3. Step 3: Cross multiply
    9,533.57x = 14,297.31 × 3,985.88
  4. Step 4: Simplify right side
    9,533.57x = 56,987,290.50
  5. Step 5: Solve for x
    x = 56,987,290.50/9,533.57
  6. Step 6: Final answer
    x = 5,977.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.