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Finding the Fourth Proportional to 9,704.85, 14,573.48 and 6,432.45

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Solution

The fourth proportional to 9,704.85, 14,573.48 and 6,432.45 is: 9,659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.85 : 14,573.48 = 6,432.45 : x
  2. Step 2: Convert to fraction form
    9,704.85/14,573.48 = 6,432.45/x
  3. Step 3: Cross multiply
    9,704.85x = 14,573.48 × 6,432.45
  4. Step 4: Simplify right side
    9,704.85x = 93,743,149.26
  5. Step 5: Solve for x
    x = 93,743,149.26/9,704.85
  6. Step 6: Final answer
    x = 9,659.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.