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Finding the Fourth Proportional to 9,568.13, 14,354.01 and 4,374

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Solution

The fourth proportional to 9,568.13, 14,354.01 and 4,374 is: 6,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.13 : 14,354.01 = 4,374 : x
  2. Step 2: Convert to fraction form
    9,568.13/14,354.01 = 4,374/x
  3. Step 3: Cross multiply
    9,568.13x = 14,354.01 × 4,374
  4. Step 4: Simplify right side
    9,568.13x = 62,784,439.74
  5. Step 5: Solve for x
    x = 62,784,439.74/9,568.13
  6. Step 6: Final answer
    x = 6,561.83

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Why These Related Problems?

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