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Finding the Fourth Proportional to 9,733.89, 14,592.07 and 3,492.44

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Solution

The fourth proportional to 9,733.89, 14,592.07 and 3,492.44 is: 5,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.89 : 14,592.07 = 3,492.44 : x
  2. Step 2: Convert to fraction form
    9,733.89/14,592.07 = 3,492.44/x
  3. Step 3: Cross multiply
    9,733.89x = 14,592.07 × 3,492.44
  4. Step 4: Simplify right side
    9,733.89x = 50,961,965.94
  5. Step 5: Solve for x
    x = 50,961,965.94/9,733.89
  6. Step 6: Final answer
    x = 5,235.52

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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.