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Finding the Fourth Proportional to 9,589.19, 13,201.58 and 8,654.24

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Solution

The fourth proportional to 9,589.19, 13,201.58 and 8,654.24 is: 11,914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.19 : 13,201.58 = 8,654.24 : x
  2. Step 2: Convert to fraction form
    9,589.19/13,201.58 = 8,654.24/x
  3. Step 3: Cross multiply
    9,589.19x = 13,201.58 × 8,654.24
  4. Step 4: Simplify right side
    9,589.19x = 114,249,696.34
  5. Step 5: Solve for x
    x = 114,249,696.34/9,589.19
  6. Step 6: Final answer
    x = 11,914.43

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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.