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Finding the Fourth Proportional to 9,634.60, 14,454.60 and 4,704.40

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Solution

The fourth proportional to 9,634.60, 14,454.60 and 4,704.40 is: 7,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.60 : 14,454.60 = 4,704.40 : x
  2. Step 2: Convert to fraction form
    9,634.60/14,454.60 = 4,704.40/x
  3. Step 3: Cross multiply
    9,634.60x = 14,454.60 × 4,704.40
  4. Step 4: Simplify right side
    9,634.60x = 68,000,220.24
  5. Step 5: Solve for x
    x = 68,000,220.24/9,634.60
  6. Step 6: Final answer
    x = 7,057.92

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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.