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Finding the Fourth Proportional to 12,389.34, 17,097.81 and 7,084.16

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Solution

The fourth proportional to 12,389.34, 17,097.81 and 7,084.16 is: 9,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,389.34 : 17,097.81 = 7,084.16 : x
  2. Step 2: Convert to fraction form
    12,389.34/17,097.81 = 7,084.16/x
  3. Step 3: Cross multiply
    12,389.34x = 17,097.81 × 7,084.16
  4. Step 4: Simplify right side
    12,389.34x = 121,123,536.20
  5. Step 5: Solve for x
    x = 121,123,536.20/12,389.34
  6. Step 6: Final answer
    x = 9,776.43

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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.