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Finding the Fourth Proportional to 9,644.84, 13,311.10 and 5,453

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Solution

The fourth proportional to 9,644.84, 13,311.10 and 5,453 is: 7,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.84 : 13,311.10 = 5,453 : x
  2. Step 2: Convert to fraction form
    9,644.84/13,311.10 = 5,453/x
  3. Step 3: Cross multiply
    9,644.84x = 13,311.10 × 5,453
  4. Step 4: Simplify right side
    9,644.84x = 72,585,428.30
  5. Step 5: Solve for x
    x = 72,585,428.30/9,644.84
  6. Step 6: Final answer
    x = 7,525.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.