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Finding the Fourth Proportional to 9,750.70, 14,604.45 and 3,904.30

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Solution

The fourth proportional to 9,750.70, 14,604.45 and 3,904.30 is: 5,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.70 : 14,604.45 = 3,904.30 : x
  2. Step 2: Convert to fraction form
    9,750.70/14,604.45 = 3,904.30/x
  3. Step 3: Cross multiply
    9,750.70x = 14,604.45 × 3,904.30
  4. Step 4: Simplify right side
    9,750.70x = 57,020,154.14
  5. Step 5: Solve for x
    x = 57,020,154.14/9,750.70
  6. Step 6: Final answer
    x = 5,847.80

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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.