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Finding the Fourth Proportional to 6,484.72, 9,736.80 and 3,714.52

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Solution

The fourth proportional to 6,484.72, 9,736.80 and 3,714.52 is: 5,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.72 : 9,736.80 = 3,714.52 : x
  2. Step 2: Convert to fraction form
    6,484.72/9,736.80 = 3,714.52/x
  3. Step 3: Cross multiply
    6,484.72x = 9,736.80 × 3,714.52
  4. Step 4: Simplify right side
    6,484.72x = 36,167,538.34
  5. Step 5: Solve for x
    x = 36,167,538.34/6,484.72
  6. Step 6: Final answer
    x = 5,577.35

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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.