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Finding the Fourth Proportional to 9,173.50, 13,759.92 and 2,599.66

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Solution

The fourth proportional to 9,173.50, 13,759.92 and 2,599.66 is: 3,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173.50 : 13,759.92 = 2,599.66 : x
  2. Step 2: Convert to fraction form
    9,173.50/13,759.92 = 2,599.66/x
  3. Step 3: Cross multiply
    9,173.50x = 13,759.92 × 2,599.66
  4. Step 4: Simplify right side
    9,173.50x = 35,771,113.63
  5. Step 5: Solve for x
    x = 35,771,113.63/9,173.50
  6. Step 6: Final answer
    x = 3,899.40

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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.