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Finding the Fourth Proportional to 9,448.65, 14,173.65 and 2,874.80

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Solution

The fourth proportional to 9,448.65, 14,173.65 and 2,874.80 is: 4,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.65 : 14,173.65 = 2,874.80 : x
  2. Step 2: Convert to fraction form
    9,448.65/14,173.65 = 2,874.80/x
  3. Step 3: Cross multiply
    9,448.65x = 14,173.65 × 2,874.80
  4. Step 4: Simplify right side
    9,448.65x = 40,746,444.45
  5. Step 5: Solve for x
    x = 40,746,444.45/9,448.65
  6. Step 6: Final answer
    x = 4,312.41

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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.