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Finding the Fourth Proportional to 9,873.22, 13,628.82 and 6,097

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Solution

The fourth proportional to 9,873.22, 13,628.82 and 6,097 is: 8,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.22 : 13,628.82 = 6,097 : x
  2. Step 2: Convert to fraction form
    9,873.22/13,628.82 = 6,097/x
  3. Step 3: Cross multiply
    9,873.22x = 13,628.82 × 6,097
  4. Step 4: Simplify right side
    9,873.22x = 83,094,915.54
  5. Step 5: Solve for x
    x = 83,094,915.54/9,873.22
  6. Step 6: Final answer
    x = 8,416.19

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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.