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Finding the Fourth Proportional to 9,435.88, 14,152.74 and 2,863

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Solution

The fourth proportional to 9,435.88, 14,152.74 and 2,863 is: 4,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.88 : 14,152.74 = 2,863 : x
  2. Step 2: Convert to fraction form
    9,435.88/14,152.74 = 2,863/x
  3. Step 3: Cross multiply
    9,435.88x = 14,152.74 × 2,863
  4. Step 4: Simplify right side
    9,435.88x = 40,519,294.62
  5. Step 5: Solve for x
    x = 40,519,294.62/9,435.88
  6. Step 6: Final answer
    x = 4,294.17

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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.