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Finding the Fourth Proportional to 6,514.04, 9,759.72 and 5,425.40

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Solution

The fourth proportional to 6,514.04, 9,759.72 and 5,425.40 is: 8,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.04 : 9,759.72 = 5,425.40 : x
  2. Step 2: Convert to fraction form
    6,514.04/9,759.72 = 5,425.40/x
  3. Step 3: Cross multiply
    6,514.04x = 9,759.72 × 5,425.40
  4. Step 4: Simplify right side
    6,514.04x = 52,950,384.89
  5. Step 5: Solve for x
    x = 52,950,384.89/6,514.04
  6. Step 6: Final answer
    x = 8,128.66

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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.