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Finding the Fourth Proportional to 9,492.74, 14,239.50 and 3,257.04

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Solution

The fourth proportional to 9,492.74, 14,239.50 and 3,257.04 is: 4,885.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.74 : 14,239.50 = 3,257.04 : x
  2. Step 2: Convert to fraction form
    9,492.74/14,239.50 = 3,257.04/x
  3. Step 3: Cross multiply
    9,492.74x = 14,239.50 × 3,257.04
  4. Step 4: Simplify right side
    9,492.74x = 46,378,600.49
  5. Step 5: Solve for x
    x = 46,378,600.49/9,492.74
  6. Step 6: Final answer
    x = 4,885.69

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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.