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Finding the Fourth Proportional to 6,514.15, 9,770.96 and 4,534.06

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Solution

The fourth proportional to 6,514.15, 9,770.96 and 4,534.06 is: 6,800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.15 : 9,770.96 = 4,534.06 : x
  2. Step 2: Convert to fraction form
    6,514.15/9,770.96 = 4,534.06/x
  3. Step 3: Cross multiply
    6,514.15x = 9,770.96 × 4,534.06
  4. Step 4: Simplify right side
    6,514.15x = 44,302,124.13
  5. Step 5: Solve for x
    x = 44,302,124.13/6,514.15
  6. Step 6: Final answer
    x = 6,800.91

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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.