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Finding the Fourth Proportional to 9,383.92, 14,056 and 6,087.20

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Solution

The fourth proportional to 9,383.92, 14,056 and 6,087.20 is: 9,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.92 : 14,056 = 6,087.20 : x
  2. Step 2: Convert to fraction form
    9,383.92/14,056 = 6,087.20/x
  3. Step 3: Cross multiply
    9,383.92x = 14,056 × 6,087.20
  4. Step 4: Simplify right side
    9,383.92x = 85,561,683.20
  5. Step 5: Solve for x
    x = 85,561,683.20/9,383.92
  6. Step 6: Final answer
    x = 9,117.90

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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.