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Finding the Fourth Proportional to 6,475.16, 9,717.82 and 4,514.60

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Solution

The fourth proportional to 6,475.16, 9,717.82 and 4,514.60 is: 6,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.16 : 9,717.82 = 4,514.60 : x
  2. Step 2: Convert to fraction form
    6,475.16/9,717.82 = 4,514.60/x
  3. Step 3: Cross multiply
    6,475.16x = 9,717.82 × 4,514.60
  4. Step 4: Simplify right side
    6,475.16x = 43,872,070.17
  5. Step 5: Solve for x
    x = 43,872,070.17/6,475.16
  6. Step 6: Final answer
    x = 6,775.44

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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.