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Finding the Fourth Proportional to 6,205.70, 9,308.55 and 4,456.10

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Solution

The fourth proportional to 6,205.70, 9,308.55 and 4,456.10 is: 6,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.70 : 9,308.55 = 4,456.10 : x
  2. Step 2: Convert to fraction form
    6,205.70/9,308.55 = 4,456.10/x
  3. Step 3: Cross multiply
    6,205.70x = 9,308.55 × 4,456.10
  4. Step 4: Simplify right side
    6,205.70x = 41,479,829.66
  5. Step 5: Solve for x
    x = 41,479,829.66/6,205.70
  6. Step 6: Final answer
    x = 6,684.15

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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.