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Finding the Fourth Proportional to 9,714.80, 14,573.64 and 3,138.80

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Solution

The fourth proportional to 9,714.80, 14,573.64 and 3,138.80 is: 4,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.80 : 14,573.64 = 3,138.80 : x
  2. Step 2: Convert to fraction form
    9,714.80/14,573.64 = 3,138.80/x
  3. Step 3: Cross multiply
    9,714.80x = 14,573.64 × 3,138.80
  4. Step 4: Simplify right side
    9,714.80x = 45,743,741.23
  5. Step 5: Solve for x
    x = 45,743,741.23/9,714.80
  6. Step 6: Final answer
    x = 4,708.67

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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.