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Finding the Fourth Proportional to 6,514.34, 9,771.51 and 4,575.20

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Solution

The fourth proportional to 6,514.34, 9,771.51 and 4,575.20 is: 6,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.34 : 9,771.51 = 4,575.20 : x
  2. Step 2: Convert to fraction form
    6,514.34/9,771.51 = 4,575.20/x
  3. Step 3: Cross multiply
    6,514.34x = 9,771.51 × 4,575.20
  4. Step 4: Simplify right side
    6,514.34x = 44,706,612.55
  5. Step 5: Solve for x
    x = 44,706,612.55/6,514.34
  6. Step 6: Final answer
    x = 6,862.80

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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.