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Finding the Fourth Proportional to 9,492.64, 14,238.97 and 3,252.70

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Solution

The fourth proportional to 9,492.64, 14,238.97 and 3,252.70 is: 4,879.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.64 : 14,238.97 = 3,252.70 : x
  2. Step 2: Convert to fraction form
    9,492.64/14,238.97 = 3,252.70/x
  3. Step 3: Cross multiply
    9,492.64x = 14,238.97 × 3,252.70
  4. Step 4: Simplify right side
    9,492.64x = 46,315,097.72
  5. Step 5: Solve for x
    x = 46,315,097.72/9,492.64
  6. Step 6: Final answer
    x = 4,879.06

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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.