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Finding the Fourth Proportional to 9,714, 13,400.52 and 6,127.32

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Solution

The fourth proportional to 9,714, 13,400.52 and 6,127.32 is: 8,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714 : 13,400.52 = 6,127.32 : x
  2. Step 2: Convert to fraction form
    9,714/13,400.52 = 6,127.32/x
  3. Step 3: Cross multiply
    9,714x = 13,400.52 × 6,127.32
  4. Step 4: Simplify right side
    9,714x = 82,109,274.21
  5. Step 5: Solve for x
    x = 82,109,274.21/9,714
  6. Step 6: Final answer
    x = 8,452.67

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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.