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Finding the Fourth Proportional to 9,982.12, 13,775.43 and 5,506.04

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Solution

The fourth proportional to 9,982.12, 13,775.43 and 5,506.04 is: 7,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.12 : 13,775.43 = 5,506.04 : x
  2. Step 2: Convert to fraction form
    9,982.12/13,775.43 = 5,506.04/x
  3. Step 3: Cross multiply
    9,982.12x = 13,775.43 × 5,506.04
  4. Step 4: Simplify right side
    9,982.12x = 75,848,068.60
  5. Step 5: Solve for x
    x = 75,848,068.60/9,982.12
  6. Step 6: Final answer
    x = 7,598.39

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Why These Related Problems?

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