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Finding the Fourth Proportional to 6,445.66, 9,658.77 and 4,794.46

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Solution

The fourth proportional to 6,445.66, 9,658.77 and 4,794.46 is: 7,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.66 : 9,658.77 = 4,794.46 : x
  2. Step 2: Convert to fraction form
    6,445.66/9,658.77 = 4,794.46/x
  3. Step 3: Cross multiply
    6,445.66x = 9,658.77 × 4,794.46
  4. Step 4: Simplify right side
    6,445.66x = 46,308,586.41
  5. Step 5: Solve for x
    x = 46,308,586.41/6,445.66
  6. Step 6: Final answer
    x = 7,184.46

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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.