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Finding the Fourth Proportional to 6,420.60, 9,622.80 and 4,687.20

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Solution

The fourth proportional to 6,420.60, 9,622.80 and 4,687.20 is: 7,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.60 : 9,622.80 = 4,687.20 : x
  2. Step 2: Convert to fraction form
    6,420.60/9,622.80 = 4,687.20/x
  3. Step 3: Cross multiply
    6,420.60x = 9,622.80 × 4,687.20
  4. Step 4: Simplify right side
    6,420.60x = 45,103,988.16
  5. Step 5: Solve for x
    x = 45,103,988.16/6,420.60
  6. Step 6: Final answer
    x = 7,024.89

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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.