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Finding the Fourth Proportional to 6,421.80, 9,630.30 and 4,468.20

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Solution

The fourth proportional to 6,421.80, 9,630.30 and 4,468.20 is: 6,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.80 : 9,630.30 = 4,468.20 : x
  2. Step 2: Convert to fraction form
    6,421.80/9,630.30 = 4,468.20/x
  3. Step 3: Cross multiply
    6,421.80x = 9,630.30 × 4,468.20
  4. Step 4: Simplify right side
    6,421.80x = 43,030,106.46
  5. Step 5: Solve for x
    x = 43,030,106.46/6,421.80
  6. Step 6: Final answer
    x = 6,700.63

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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.