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Finding the Fourth Proportional to 6,683.12, 9,222.65 and 3,698.88

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Solution

The fourth proportional to 6,683.12, 9,222.65 and 3,698.88 is: 5,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.12 : 9,222.65 = 3,698.88 : x
  2. Step 2: Convert to fraction form
    6,683.12/9,222.65 = 3,698.88/x
  3. Step 3: Cross multiply
    6,683.12x = 9,222.65 × 3,698.88
  4. Step 4: Simplify right side
    6,683.12x = 34,113,475.63
  5. Step 5: Solve for x
    x = 34,113,475.63/6,683.12
  6. Step 6: Final answer
    x = 5,104.42

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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.