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Finding the Fourth Proportional to 9,293.54, 12,824.70 and 5,101.88

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Solution

The fourth proportional to 9,293.54, 12,824.70 and 5,101.88 is: 7,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.54 : 12,824.70 = 5,101.88 : x
  2. Step 2: Convert to fraction form
    9,293.54/12,824.70 = 5,101.88/x
  3. Step 3: Cross multiply
    9,293.54x = 12,824.70 × 5,101.88
  4. Step 4: Simplify right side
    9,293.54x = 65,430,080.44
  5. Step 5: Solve for x
    x = 65,430,080.44/9,293.54
  6. Step 6: Final answer
    x = 7,040.38

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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.