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Finding the Fourth Proportional to 8,734.50, 13,097.30 and 2,889

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Solution

The fourth proportional to 8,734.50, 13,097.30 and 2,889 is: 4,332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.50 : 13,097.30 = 2,889 : x
  2. Step 2: Convert to fraction form
    8,734.50/13,097.30 = 2,889/x
  3. Step 3: Cross multiply
    8,734.50x = 13,097.30 × 2,889
  4. Step 4: Simplify right side
    8,734.50x = 37,838,085.26
  5. Step 5: Solve for x
    x = 37,838,085.26/8,734.50
  6. Step 6: Final answer
    x = 4,332.03

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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.