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Finding the Fourth Proportional to 9,406.70, 14,114.10 and 4,789.70

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Solution

The fourth proportional to 9,406.70, 14,114.10 and 4,789.70 is: 7,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.70 : 14,114.10 = 4,789.70 : x
  2. Step 2: Convert to fraction form
    9,406.70/14,114.10 = 4,789.70/x
  3. Step 3: Cross multiply
    9,406.70x = 14,114.10 × 4,789.70
  4. Step 4: Simplify right side
    9,406.70x = 67,602,304.77
  5. Step 5: Solve for x
    x = 67,602,304.77/9,406.70
  6. Step 6: Final answer
    x = 7,186.61

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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.