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Finding the Fourth Proportional to 9,492.94, 13,096.52 and 5,954.86

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Solution

The fourth proportional to 9,492.94, 13,096.52 and 5,954.86 is: 8,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.94 : 13,096.52 = 5,954.86 : x
  2. Step 2: Convert to fraction form
    9,492.94/13,096.52 = 5,954.86/x
  3. Step 3: Cross multiply
    9,492.94x = 13,096.52 × 5,954.86
  4. Step 4: Simplify right side
    9,492.94x = 77,987,943.09
  5. Step 5: Solve for x
    x = 77,987,943.09/9,492.94
  6. Step 6: Final answer
    x = 8,215.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.