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Finding the Fourth Proportional to 9,989.80, 14,984.71 and 3,416.04

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Solution

The fourth proportional to 9,989.80, 14,984.71 and 3,416.04 is: 5,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.80 : 14,984.71 = 3,416.04 : x
  2. Step 2: Convert to fraction form
    9,989.80/14,984.71 = 3,416.04/x
  3. Step 3: Cross multiply
    9,989.80x = 14,984.71 × 3,416.04
  4. Step 4: Simplify right side
    9,989.80x = 51,188,360.21
  5. Step 5: Solve for x
    x = 51,188,360.21/9,989.80
  6. Step 6: Final answer
    x = 5,124.06

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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.