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Finding the Fourth Proportional to 9,589.28, 13,228.13 and 6,599.93

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Solution

The fourth proportional to 9,589.28, 13,228.13 and 6,599.93 is: 9,104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.28 : 13,228.13 = 6,599.93 : x
  2. Step 2: Convert to fraction form
    9,589.28/13,228.13 = 6,599.93/x
  3. Step 3: Cross multiply
    9,589.28x = 13,228.13 × 6,599.93
  4. Step 4: Simplify right side
    9,589.28x = 87,304,632.89
  5. Step 5: Solve for x
    x = 87,304,632.89/9,589.28
  6. Step 6: Final answer
    x = 9,104.40

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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.