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Finding the Fourth Proportional to 9,982.04, 13,774.74 and 5,730.13

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Solution

The fourth proportional to 9,982.04, 13,774.74 and 5,730.13 is: 7,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.04 : 13,774.74 = 5,730.13 : x
  2. Step 2: Convert to fraction form
    9,982.04/13,774.74 = 5,730.13/x
  3. Step 3: Cross multiply
    9,982.04x = 13,774.74 × 5,730.13
  4. Step 4: Simplify right side
    9,982.04x = 78,930,982.04
  5. Step 5: Solve for x
    x = 78,930,982.04/9,982.04
  6. Step 6: Final answer
    x = 7,907.30

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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.