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Finding the Fourth Proportional to 9,580.56, 13,220.46 and 5,388

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Solution

The fourth proportional to 9,580.56, 13,220.46 and 5,388 is: 7,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.56 : 13,220.46 = 5,388 : x
  2. Step 2: Convert to fraction form
    9,580.56/13,220.46 = 5,388/x
  3. Step 3: Cross multiply
    9,580.56x = 13,220.46 × 5,388
  4. Step 4: Simplify right side
    9,580.56x = 71,231,838.48
  5. Step 5: Solve for x
    x = 71,231,838.48/9,580.56
  6. Step 6: Final answer
    x = 7,435.04

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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.