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Finding the Fourth Proportional to 12,389.22, 17,097.64 and 7,084.03

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Solution

The fourth proportional to 12,389.22, 17,097.64 and 7,084.03 is: 9,776.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,389.22 : 17,097.64 = 7,084.03 : x
  2. Step 2: Convert to fraction form
    12,389.22/17,097.64 = 7,084.03/x
  3. Step 3: Cross multiply
    12,389.22x = 17,097.64 × 7,084.03
  4. Step 4: Simplify right side
    12,389.22x = 121,120,194.69
  5. Step 5: Solve for x
    x = 121,120,194.69/12,389.22
  6. Step 6: Final answer
    x = 9,776.26

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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.