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Finding the Fourth Proportional to 9,589.64, 13,233.34 and 5,340.88

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Solution

The fourth proportional to 9,589.64, 13,233.34 and 5,340.88 is: 7,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.64 : 13,233.34 = 5,340.88 : x
  2. Step 2: Convert to fraction form
    9,589.64/13,233.34 = 5,340.88/x
  3. Step 3: Cross multiply
    9,589.64x = 13,233.34 × 5,340.88
  4. Step 4: Simplify right side
    9,589.64x = 70,677,680.94
  5. Step 5: Solve for x
    x = 70,677,680.94/9,589.64
  6. Step 6: Final answer
    x = 7,370.21

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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.