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Finding the Fourth Proportional to 9,004.04, 12,422.10 and 5,640.99

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Solution

The fourth proportional to 9,004.04, 12,422.10 and 5,640.99 is: 7,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004.04 : 12,422.10 = 5,640.99 : x
  2. Step 2: Convert to fraction form
    9,004.04/12,422.10 = 5,640.99/x
  3. Step 3: Cross multiply
    9,004.04x = 12,422.10 × 5,640.99
  4. Step 4: Simplify right side
    9,004.04x = 70,072,941.88
  5. Step 5: Solve for x
    x = 70,072,941.88/9,004.04
  6. Step 6: Final answer
    x = 7,782.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.