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Finding the Fourth Proportional to 9,892.48, 14,841.75 and 4,049.54

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Solution

The fourth proportional to 9,892.48, 14,841.75 and 4,049.54 is: 6,075.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.48 : 14,841.75 = 4,049.54 : x
  2. Step 2: Convert to fraction form
    9,892.48/14,841.75 = 4,049.54/x
  3. Step 3: Cross multiply
    9,892.48x = 14,841.75 × 4,049.54
  4. Step 4: Simplify right side
    9,892.48x = 60,102,312.59
  5. Step 5: Solve for x
    x = 60,102,312.59/9,892.48
  6. Step 6: Final answer
    x = 6,075.56

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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.