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Finding the Fourth Proportional to 6,680.40, 9,209.88 and 5,630.64

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Solution

The fourth proportional to 6,680.40, 9,209.88 and 5,630.64 is: 7,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.40 : 9,209.88 = 5,630.64 : x
  2. Step 2: Convert to fraction form
    6,680.40/9,209.88 = 5,630.64/x
  3. Step 3: Cross multiply
    6,680.40x = 9,209.88 × 5,630.64
  4. Step 4: Simplify right side
    6,680.40x = 51,857,518.72
  5. Step 5: Solve for x
    x = 51,857,518.72/6,680.40
  6. Step 6: Final answer
    x = 7,762.64

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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.