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Finding the Fourth Proportional to 9,098.49, 13,647.73 and 2,524.67

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Solution

The fourth proportional to 9,098.49, 13,647.73 and 2,524.67 is: 3,787.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.49 : 13,647.73 = 2,524.67 : x
  2. Step 2: Convert to fraction form
    9,098.49/13,647.73 = 2,524.67/x
  3. Step 3: Cross multiply
    9,098.49x = 13,647.73 × 2,524.67
  4. Step 4: Simplify right side
    9,098.49x = 34,456,001.88
  5. Step 5: Solve for x
    x = 34,456,001.88/9,098.49
  6. Step 6: Final answer
    x = 3,787.00

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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.