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Finding the Fourth Proportional to 9,492.41, 14,241.06 and 3,647.45

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Solution

The fourth proportional to 9,492.41, 14,241.06 and 3,647.45 is: 5,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.41 : 14,241.06 = 3,647.45 : x
  2. Step 2: Convert to fraction form
    9,492.41/14,241.06 = 3,647.45/x
  3. Step 3: Cross multiply
    9,492.41x = 14,241.06 × 3,647.45
  4. Step 4: Simplify right side
    9,492.41x = 51,943,589.90
  5. Step 5: Solve for x
    x = 51,943,589.90/9,492.41
  6. Step 6: Final answer
    x = 5,472.12

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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.