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Finding the Fourth Proportional to 9,492.95, 14,241.81 and 4,297.43

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Solution

The fourth proportional to 9,492.95, 14,241.81 and 4,297.43 is: 6,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.95 : 14,241.81 = 4,297.43 : x
  2. Step 2: Convert to fraction form
    9,492.95/14,241.81 = 4,297.43/x
  3. Step 3: Cross multiply
    9,492.95x = 14,241.81 × 4,297.43
  4. Step 4: Simplify right side
    9,492.95x = 61,203,181.55
  5. Step 5: Solve for x
    x = 61,203,181.55/9,492.95
  6. Step 6: Final answer
    x = 6,447.22

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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.