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Finding the Fourth Proportional to 9,407.70, 14,117.02 and 3,865.03

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Solution

The fourth proportional to 9,407.70, 14,117.02 and 3,865.03 is: 5,799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.70 : 14,117.02 = 3,865.03 : x
  2. Step 2: Convert to fraction form
    9,407.70/14,117.02 = 3,865.03/x
  3. Step 3: Cross multiply
    9,407.70x = 14,117.02 × 3,865.03
  4. Step 4: Simplify right side
    9,407.70x = 54,562,660.86
  5. Step 5: Solve for x
    x = 54,562,660.86/9,407.70
  6. Step 6: Final answer
    x = 5,799.79

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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.