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Finding the Fourth Proportional to 9,085.98, 13,630.89 and 2,929.50

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Solution

The fourth proportional to 9,085.98, 13,630.89 and 2,929.50 is: 4,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.98 : 13,630.89 = 2,929.50 : x
  2. Step 2: Convert to fraction form
    9,085.98/13,630.89 = 2,929.50/x
  3. Step 3: Cross multiply
    9,085.98x = 13,630.89 × 2,929.50
  4. Step 4: Simplify right side
    9,085.98x = 39,931,692.26
  5. Step 5: Solve for x
    x = 39,931,692.26/9,085.98
  6. Step 6: Final answer
    x = 4,394.87

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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.