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Finding the Fourth Proportional to 9,568.71, 13,204.35 and 5,589.99

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Solution

The fourth proportional to 9,568.71, 13,204.35 and 5,589.99 is: 7,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.71 : 13,204.35 = 5,589.99 : x
  2. Step 2: Convert to fraction form
    9,568.71/13,204.35 = 5,589.99/x
  3. Step 3: Cross multiply
    9,568.71x = 13,204.35 × 5,589.99
  4. Step 4: Simplify right side
    9,568.71x = 73,812,184.46
  5. Step 5: Solve for x
    x = 73,812,184.46/9,568.71
  6. Step 6: Final answer
    x = 7,713.91

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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.