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Finding the Fourth Proportional to 7,063.63, 9,748.02 and 3,919.75

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Solution

The fourth proportional to 7,063.63, 9,748.02 and 3,919.75 is: 5,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063.63 : 9,748.02 = 3,919.75 : x
  2. Step 2: Convert to fraction form
    7,063.63/9,748.02 = 3,919.75/x
  3. Step 3: Cross multiply
    7,063.63x = 9,748.02 × 3,919.75
  4. Step 4: Simplify right side
    7,063.63x = 38,209,801.40
  5. Step 5: Solve for x
    x = 38,209,801.40/7,063.63
  6. Step 6: Final answer
    x = 5,409.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.