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Finding the Fourth Proportional to 6,514.35, 9,775.62 and 3,746.43

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Solution

The fourth proportional to 6,514.35, 9,775.62 and 3,746.43 is: 5,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.35 : 9,775.62 = 3,746.43 : x
  2. Step 2: Convert to fraction form
    6,514.35/9,775.62 = 3,746.43/x
  3. Step 3: Cross multiply
    6,514.35x = 9,775.62 × 3,746.43
  4. Step 4: Simplify right side
    6,514.35x = 36,623,676.04
  5. Step 5: Solve for x
    x = 36,623,676.04/6,514.35
  6. Step 6: Final answer
    x = 5,622.00

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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.