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Finding the Fourth Proportional to 9,982.07, 13,776.08 and 5,506.25

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Solution

The fourth proportional to 9,982.07, 13,776.08 and 5,506.25 is: 7,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.07 : 13,776.08 = 5,506.25 : x
  2. Step 2: Convert to fraction form
    9,982.07/13,776.08 = 5,506.25/x
  3. Step 3: Cross multiply
    9,982.07x = 13,776.08 × 5,506.25
  4. Step 4: Simplify right side
    9,982.07x = 75,854,444.09
  5. Step 5: Solve for x
    x = 75,854,444.09/9,982.07
  6. Step 6: Final answer
    x = 7,599.07

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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.