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Finding the Fourth Proportional to 6,416.34, 8,854.95 and 3,763.45

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Solution

The fourth proportional to 6,416.34, 8,854.95 and 3,763.45 is: 5,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.34 : 8,854.95 = 3,763.45 : x
  2. Step 2: Convert to fraction form
    6,416.34/8,854.95 = 3,763.45/x
  3. Step 3: Cross multiply
    6,416.34x = 8,854.95 × 3,763.45
  4. Step 4: Simplify right side
    6,416.34x = 33,325,161.58
  5. Step 5: Solve for x
    x = 33,325,161.58/6,416.34
  6. Step 6: Final answer
    x = 5,193.80

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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.