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Finding the Fourth Proportional to 9,045.24, 13,506.29 and 7,982.19

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Solution

The fourth proportional to 9,045.24, 13,506.29 and 7,982.19 is: 11,918.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045.24 : 13,506.29 = 7,982.19 : x
  2. Step 2: Convert to fraction form
    9,045.24/13,506.29 = 7,982.19/x
  3. Step 3: Cross multiply
    9,045.24x = 13,506.29 × 7,982.19
  4. Step 4: Simplify right side
    9,045.24x = 107,809,733.06
  5. Step 5: Solve for x
    x = 107,809,733.06/9,045.24
  6. Step 6: Final answer
    x = 11,918.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.