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Finding the Fourth Proportional to 9,156, 13,736.73 and 6,492.72

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Solution

The fourth proportional to 9,156, 13,736.73 and 6,492.72 is: 9,741.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156 : 13,736.73 = 6,492.72 : x
  2. Step 2: Convert to fraction form
    9,156/13,736.73 = 6,492.72/x
  3. Step 3: Cross multiply
    9,156x = 13,736.73 × 6,492.72
  4. Step 4: Simplify right side
    9,156x = 89,188,741.61
  5. Step 5: Solve for x
    x = 89,188,741.61/9,156
  6. Step 6: Final answer
    x = 9,741.02

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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.