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Finding the Fourth Proportional to 9,334.35, 14,008.82 and 3,492.63

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Solution

The fourth proportional to 9,334.35, 14,008.82 and 3,492.63 is: 5,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.35 : 14,008.82 = 3,492.63 : x
  2. Step 2: Convert to fraction form
    9,334.35/14,008.82 = 3,492.63/x
  3. Step 3: Cross multiply
    9,334.35x = 14,008.82 × 3,492.63
  4. Step 4: Simplify right side
    9,334.35x = 48,927,607.53
  5. Step 5: Solve for x
    x = 48,927,607.53/9,334.35
  6. Step 6: Final answer
    x = 5,241.67

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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.