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Finding the Fourth Proportional to 9,785.46, 14,678.01 and 3,941.91

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Solution

The fourth proportional to 9,785.46, 14,678.01 and 3,941.91 is: 5,912.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.46 : 14,678.01 = 3,941.91 : x
  2. Step 2: Convert to fraction form
    9,785.46/14,678.01 = 3,941.91/x
  3. Step 3: Cross multiply
    9,785.46x = 14,678.01 × 3,941.91
  4. Step 4: Simplify right side
    9,785.46x = 57,859,394.40
  5. Step 5: Solve for x
    x = 57,859,394.40/9,785.46
  6. Step 6: Final answer
    x = 5,912.79

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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.