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Finding the Fourth Proportional to 9,045, 13,567.74 and 2,889

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Solution

The fourth proportional to 9,045, 13,567.74 and 2,889 is: 4,333.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045 : 13,567.74 = 2,889 : x
  2. Step 2: Convert to fraction form
    9,045/13,567.74 = 2,889/x
  3. Step 3: Cross multiply
    9,045x = 13,567.74 × 2,889
  4. Step 4: Simplify right side
    9,045x = 39,197,200.86
  5. Step 5: Solve for x
    x = 39,197,200.86/9,045
  6. Step 6: Final answer
    x = 4,333.58

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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.