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Finding the Fourth Proportional to 9,568.47, 14,353.79 and 4,020.78

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Solution

The fourth proportional to 9,568.47, 14,353.79 and 4,020.78 is: 6,031.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.47 : 14,353.79 = 4,020.78 : x
  2. Step 2: Convert to fraction form
    9,568.47/14,353.79 = 4,020.78/x
  3. Step 3: Cross multiply
    9,568.47x = 14,353.79 × 4,020.78
  4. Step 4: Simplify right side
    9,568.47x = 57,713,411.65
  5. Step 5: Solve for x
    x = 57,713,411.65/9,568.47
  6. Step 6: Final answer
    x = 6,031.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.