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Finding the Fourth Proportional to 9,118, 13,675.78 and 3,567.48

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Solution

The fourth proportional to 9,118, 13,675.78 and 3,567.48 is: 5,350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118 : 13,675.78 = 3,567.48 : x
  2. Step 2: Convert to fraction form
    9,118/13,675.78 = 3,567.48/x
  3. Step 3: Cross multiply
    9,118x = 13,675.78 × 3,567.48
  4. Step 4: Simplify right side
    9,118x = 48,788,071.63
  5. Step 5: Solve for x
    x = 48,788,071.63/9,118
  6. Step 6: Final answer
    x = 5,350.74

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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.