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Finding the Fourth Proportional to 9,980.63, 14,976.78 and 5,542.04

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Solution

The fourth proportional to 9,980.63, 14,976.78 and 5,542.04 is: 8,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.63 : 14,976.78 = 5,542.04 : x
  2. Step 2: Convert to fraction form
    9,980.63/14,976.78 = 5,542.04/x
  3. Step 3: Cross multiply
    9,980.63x = 14,976.78 × 5,542.04
  4. Step 4: Simplify right side
    9,980.63x = 83,001,838.95
  5. Step 5: Solve for x
    x = 83,001,838.95/9,980.63
  6. Step 6: Final answer
    x = 8,316.29

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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.