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Finding the Fourth Proportional to 9,892.53, 14,841.23 and 5,513.67

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Solution

The fourth proportional to 9,892.53, 14,841.23 and 5,513.67 is: 8,271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.53 : 14,841.23 = 5,513.67 : x
  2. Step 2: Convert to fraction form
    9,892.53/14,841.23 = 5,513.67/x
  3. Step 3: Cross multiply
    9,892.53x = 14,841.23 × 5,513.67
  4. Step 4: Simplify right side
    9,892.53x = 81,829,617.05
  5. Step 5: Solve for x
    x = 81,829,617.05/9,892.53
  6. Step 6: Final answer
    x = 8,271.86

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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.