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Finding the Fourth Proportional to 6,416.42, 8,852.29 and 3,762.86

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Solution

The fourth proportional to 6,416.42, 8,852.29 and 3,762.86 is: 5,191.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.42 : 8,852.29 = 3,762.86 : x
  2. Step 2: Convert to fraction form
    6,416.42/8,852.29 = 3,762.86/x
  3. Step 3: Cross multiply
    6,416.42x = 8,852.29 × 3,762.86
  4. Step 4: Simplify right side
    6,416.42x = 33,309,874.28
  5. Step 5: Solve for x
    x = 33,309,874.28/6,416.42
  6. Step 6: Final answer
    x = 5,191.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.