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Finding the Fourth Proportional to 9,411.59, 12,980.45 and 8,350.09

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Solution

The fourth proportional to 9,411.59, 12,980.45 and 8,350.09 is: 11,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.59 : 12,980.45 = 8,350.09 : x
  2. Step 2: Convert to fraction form
    9,411.59/12,980.45 = 8,350.09/x
  3. Step 3: Cross multiply
    9,411.59x = 12,980.45 × 8,350.09
  4. Step 4: Simplify right side
    9,411.59x = 108,387,914.16
  5. Step 5: Solve for x
    x = 108,387,914.16/9,411.59
  6. Step 6: Final answer
    x = 11,516.43

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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.