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Finding the Fourth Proportional to 6,308.64, 8,706.32 and 3,514.16

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Solution

The fourth proportional to 6,308.64, 8,706.32 and 3,514.16 is: 4,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.64 : 8,706.32 = 3,514.16 : x
  2. Step 2: Convert to fraction form
    6,308.64/8,706.32 = 3,514.16/x
  3. Step 3: Cross multiply
    6,308.64x = 8,706.32 × 3,514.16
  4. Step 4: Simplify right side
    6,308.64x = 30,595,401.49
  5. Step 5: Solve for x
    x = 30,595,401.49/6,308.64
  6. Step 6: Final answer
    x = 4,849.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.